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Finding the Fourth Proportional to 597.90, 824.87 and 457.87

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Solution

The fourth proportional to 597.90, 824.87 and 457.87 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 824.87 = 457.87 : x
  2. Step 2: Convert to fraction form
    597.90/824.87 = 457.87/x
  3. Step 3: Cross multiply
    597.90x = 824.87 × 457.87
  4. Step 4: Simplify right side
    597.90x = 377,683.23
  5. Step 5: Solve for x
    x = 377,683.23/597.90
  6. Step 6: Final answer
    x = 631.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.