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Finding the Fourth Proportional to 711.04, 1,063.86 and 432.40

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Solution

The fourth proportional to 711.04, 1,063.86 and 432.40 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.04 : 1,063.86 = 432.40 : x
  2. Step 2: Convert to fraction form
    711.04/1,063.86 = 432.40/x
  3. Step 3: Cross multiply
    711.04x = 1,063.86 × 432.40
  4. Step 4: Simplify right side
    711.04x = 460,013.06
  5. Step 5: Solve for x
    x = 460,013.06/711.04
  6. Step 6: Final answer
    x = 646.96

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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.