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Finding the Fourth Proportional to 458.74, 689.01 and 393.72

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Solution

The fourth proportional to 458.74, 689.01 and 393.72 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 689.01 = 393.72 : x
  2. Step 2: Convert to fraction form
    458.74/689.01 = 393.72/x
  3. Step 3: Cross multiply
    458.74x = 689.01 × 393.72
  4. Step 4: Simplify right side
    458.74x = 271,277.02
  5. Step 5: Solve for x
    x = 271,277.02/458.74
  6. Step 6: Final answer
    x = 591.35

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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.