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Finding the Fourth Proportional to 460.02, 686.20 and 432.06

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Solution

The fourth proportional to 460.02, 686.20 and 432.06 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 686.20 = 432.06 : x
  2. Step 2: Convert to fraction form
    460.02/686.20 = 432.06/x
  3. Step 3: Cross multiply
    460.02x = 686.20 × 432.06
  4. Step 4: Simplify right side
    460.02x = 296,479.57
  5. Step 5: Solve for x
    x = 296,479.57/460.02
  6. Step 6: Final answer
    x = 644.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.