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Finding the Fourth Proportional to 458.04, 683.72 and 424.20

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Solution

The fourth proportional to 458.04, 683.72 and 424.20 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.04 : 683.72 = 424.20 : x
  2. Step 2: Convert to fraction form
    458.04/683.72 = 424.20/x
  3. Step 3: Cross multiply
    458.04x = 683.72 × 424.20
  4. Step 4: Simplify right side
    458.04x = 290,034.02
  5. Step 5: Solve for x
    x = 290,034.02/458.04
  6. Step 6: Final answer
    x = 633.21

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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.