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Finding the Fourth Proportional to 710.09, 1,066.16 and 402.56

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Solution

The fourth proportional to 710.09, 1,066.16 and 402.56 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.09 : 1,066.16 = 402.56 : x
  2. Step 2: Convert to fraction form
    710.09/1,066.16 = 402.56/x
  3. Step 3: Cross multiply
    710.09x = 1,066.16 × 402.56
  4. Step 4: Simplify right side
    710.09x = 429,186.03
  5. Step 5: Solve for x
    x = 429,186.03/710.09
  6. Step 6: Final answer
    x = 604.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.