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Finding the Fourth Proportional to 458.02, 683.15 and 432.28

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Solution

The fourth proportional to 458.02, 683.15 and 432.28 is: 644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 683.15 = 432.28 : x
  2. Step 2: Convert to fraction form
    458.02/683.15 = 432.28/x
  3. Step 3: Cross multiply
    458.02x = 683.15 × 432.28
  4. Step 4: Simplify right side
    458.02x = 295,312.08
  5. Step 5: Solve for x
    x = 295,312.08/458.02
  6. Step 6: Final answer
    x = 644.76

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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.