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Finding the Fourth Proportional to 630.95, 945.56 and 458.19

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Solution

The fourth proportional to 630.95, 945.56 and 458.19 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.95 : 945.56 = 458.19 : x
  2. Step 2: Convert to fraction form
    630.95/945.56 = 458.19/x
  3. Step 3: Cross multiply
    630.95x = 945.56 × 458.19
  4. Step 4: Simplify right side
    630.95x = 433,247.28
  5. Step 5: Solve for x
    x = 433,247.28/630.95
  6. Step 6: Final answer
    x = 686.66

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1.5x scale

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.