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Finding the Fourth Proportional to 630.88, 869.52 and 434.14

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Solution

The fourth proportional to 630.88, 869.52 and 434.14 is: 598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.88 : 869.52 = 434.14 : x
  2. Step 2: Convert to fraction form
    630.88/869.52 = 434.14/x
  3. Step 3: Cross multiply
    630.88x = 869.52 × 434.14
  4. Step 4: Simplify right side
    630.88x = 377,493.41
  5. Step 5: Solve for x
    x = 377,493.41/630.88
  6. Step 6: Final answer
    x = 598.36

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1.5x scale

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.