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Finding the Fourth Proportional to 711.71, 1,068.38 and 423.76

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Solution

The fourth proportional to 711.71, 1,068.38 and 423.76 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.71 : 1,068.38 = 423.76 : x
  2. Step 2: Convert to fraction form
    711.71/1,068.38 = 423.76/x
  3. Step 3: Cross multiply
    711.71x = 1,068.38 × 423.76
  4. Step 4: Simplify right side
    711.71x = 452,736.71
  5. Step 5: Solve for x
    x = 452,736.71/711.71
  6. Step 6: Final answer
    x = 636.13

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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.