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Finding the Fourth Proportional to 830.76, 1,146.50 and 727.08

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Solution

The fourth proportional to 830.76, 1,146.50 and 727.08 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,146.50 = 727.08 : x
  2. Step 2: Convert to fraction form
    830.76/1,146.50 = 727.08/x
  3. Step 3: Cross multiply
    830.76x = 1,146.50 × 727.08
  4. Step 4: Simplify right side
    830.76x = 833,597.22
  5. Step 5: Solve for x
    x = 833,597.22/830.76
  6. Step 6: Final answer
    x = 1,003.42

Related Problems

Find fourth proportional to 415.38, 573.25 and 363.54
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.