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Finding the Fourth Proportional to 630.50, 946.08 and 458.59

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Solution

The fourth proportional to 630.50, 946.08 and 458.59 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.50 : 946.08 = 458.59 : x
  2. Step 2: Convert to fraction form
    630.50/946.08 = 458.59/x
  3. Step 3: Cross multiply
    630.50x = 946.08 × 458.59
  4. Step 4: Simplify right side
    630.50x = 433,860.46
  5. Step 5: Solve for x
    x = 433,860.46/630.50
  6. Step 6: Final answer
    x = 688.12

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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.