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Finding the Fourth Proportional to 711.47, 1,065.86 and 403.55

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Solution

The fourth proportional to 711.47, 1,065.86 and 403.55 is: 604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.47 : 1,065.86 = 403.55 : x
  2. Step 2: Convert to fraction form
    711.47/1,065.86 = 403.55/x
  3. Step 3: Cross multiply
    711.47x = 1,065.86 × 403.55
  4. Step 4: Simplify right side
    711.47x = 430,125.97
  5. Step 5: Solve for x
    x = 430,125.97/711.47
  6. Step 6: Final answer
    x = 604.56

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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.