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Finding the Fourth Proportional to 463.23, 643.50 and 458.91

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Solution

The fourth proportional to 463.23, 643.50 and 458.91 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.23 : 643.50 = 458.91 : x
  2. Step 2: Convert to fraction form
    463.23/643.50 = 458.91/x
  3. Step 3: Cross multiply
    463.23x = 643.50 × 458.91
  4. Step 4: Simplify right side
    463.23x = 295,308.59
  5. Step 5: Solve for x
    x = 295,308.59/463.23
  6. Step 6: Final answer
    x = 637.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.