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Finding the Fourth Proportional to 709.89, 1,063.76 and 477.93

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Solution

The fourth proportional to 709.89, 1,063.76 and 477.93 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.89 : 1,063.76 = 477.93 : x
  2. Step 2: Convert to fraction form
    709.89/1,063.76 = 477.93/x
  3. Step 3: Cross multiply
    709.89x = 1,063.76 × 477.93
  4. Step 4: Simplify right side
    709.89x = 508,400.43
  5. Step 5: Solve for x
    x = 508,400.43/709.89
  6. Step 6: Final answer
    x = 716.17

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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.