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Finding the Fourth Proportional to 710.57, 1,066.16 and 363.72

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Solution

The fourth proportional to 710.57, 1,066.16 and 363.72 is: 545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.57 : 1,066.16 = 363.72 : x
  2. Step 2: Convert to fraction form
    710.57/1,066.16 = 363.72/x
  3. Step 3: Cross multiply
    710.57x = 1,066.16 × 363.72
  4. Step 4: Simplify right side
    710.57x = 387,783.72
  5. Step 5: Solve for x
    x = 387,783.72/710.57
  6. Step 6: Final answer
    x = 545.74

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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.