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Finding the Fourth Proportional to 635.43, 876.98 and 458.64

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Solution

The fourth proportional to 635.43, 876.98 and 458.64 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.43 : 876.98 = 458.64 : x
  2. Step 2: Convert to fraction form
    635.43/876.98 = 458.64/x
  3. Step 3: Cross multiply
    635.43x = 876.98 × 458.64
  4. Step 4: Simplify right side
    635.43x = 402,215.81
  5. Step 5: Solve for x
    x = 402,215.81/635.43
  6. Step 6: Final answer
    x = 632.98

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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.