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Finding the Fourth Proportional to 458.42, 690.32 and 337.52

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Solution

The fourth proportional to 458.42, 690.32 and 337.52 is: 508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 690.32 = 337.52 : x
  2. Step 2: Convert to fraction form
    458.42/690.32 = 337.52/x
  3. Step 3: Cross multiply
    458.42x = 690.32 × 337.52
  4. Step 4: Simplify right side
    458.42x = 232,996.81
  5. Step 5: Solve for x
    x = 232,996.81/458.42
  6. Step 6: Final answer
    x = 508.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.