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Finding the Fourth Proportional to 710.61, 1,065.94 and 363.85

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Solution

The fourth proportional to 710.61, 1,065.94 and 363.85 is: 545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.61 : 1,065.94 = 363.85 : x
  2. Step 2: Convert to fraction form
    710.61/1,065.94 = 363.85/x
  3. Step 3: Cross multiply
    710.61x = 1,065.94 × 363.85
  4. Step 4: Simplify right side
    710.61x = 387,843.74
  5. Step 5: Solve for x
    x = 387,843.74/710.61
  6. Step 6: Final answer
    x = 545.79

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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.