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Finding the Fourth Proportional to 770.49, 1,062.92 and 475.71

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Solution

The fourth proportional to 770.49, 1,062.92 and 475.71 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.49 : 1,062.92 = 475.71 : x
  2. Step 2: Convert to fraction form
    770.49/1,062.92 = 475.71/x
  3. Step 3: Cross multiply
    770.49x = 1,062.92 × 475.71
  4. Step 4: Simplify right side
    770.49x = 505,639.29
  5. Step 5: Solve for x
    x = 505,639.29/770.49
  6. Step 6: Final answer
    x = 656.26

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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.