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Finding the Fourth Proportional to 608.47, 910.87 and 432.15

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Solution

The fourth proportional to 608.47, 910.87 and 432.15 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 910.87 = 432.15 : x
  2. Step 2: Convert to fraction form
    608.47/910.87 = 432.15/x
  3. Step 3: Cross multiply
    608.47x = 910.87 × 432.15
  4. Step 4: Simplify right side
    608.47x = 393,632.47
  5. Step 5: Solve for x
    x = 393,632.47/608.47
  6. Step 6: Final answer
    x = 646.92

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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.