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Finding the Fourth Proportional to 929.71, 1,392.96 and 655.22

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Solution

The fourth proportional to 929.71, 1,392.96 and 655.22 is: 981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.71 : 1,392.96 = 655.22 : x
  2. Step 2: Convert to fraction form
    929.71/1,392.96 = 655.22/x
  3. Step 3: Cross multiply
    929.71x = 1,392.96 × 655.22
  4. Step 4: Simplify right side
    929.71x = 912,701.19
  5. Step 5: Solve for x
    x = 912,701.19/929.71
  6. Step 6: Final answer
    x = 981.70

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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.