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Finding the Fourth Proportional to 830.86, 1,146.42 and 476.75

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Solution

The fourth proportional to 830.86, 1,146.42 and 476.75 is: 657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.86 : 1,146.42 = 476.75 : x
  2. Step 2: Convert to fraction form
    830.86/1,146.42 = 476.75/x
  3. Step 3: Cross multiply
    830.86x = 1,146.42 × 476.75
  4. Step 4: Simplify right side
    830.86x = 546,558.60
  5. Step 5: Solve for x
    x = 546,558.60/830.86
  6. Step 6: Final answer
    x = 657.82

Related Problems

Find fourth proportional to 415.43, 573.21 and 238.38
Half scale
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Double scale
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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.