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Finding the Fourth Proportional to 830.77, 1,146.47 and 476.60

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Solution

The fourth proportional to 830.77, 1,146.47 and 476.60 is: 657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,146.47 = 476.60 : x
  2. Step 2: Convert to fraction form
    830.77/1,146.47 = 476.60/x
  3. Step 3: Cross multiply
    830.77x = 1,146.47 × 476.60
  4. Step 4: Simplify right side
    830.77x = 546,399.49
  5. Step 5: Solve for x
    x = 546,399.49/830.77
  6. Step 6: Final answer
    x = 657.70

Related Problems

Find fourth proportional to 415.38, 573.23 and 238.30
Half scale
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Double scale
Find fourth proportional to 831.77, 1,147.85 and 477.60
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.