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Finding the Fourth Proportional to 630.48, 869.62 and 434.46

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Solution

The fourth proportional to 630.48, 869.62 and 434.46 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.48 : 869.62 = 434.46 : x
  2. Step 2: Convert to fraction form
    630.48/869.62 = 434.46/x
  3. Step 3: Cross multiply
    630.48x = 869.62 × 434.46
  4. Step 4: Simplify right side
    630.48x = 377,815.11
  5. Step 5: Solve for x
    x = 377,815.11/630.48
  6. Step 6: Final answer
    x = 599.25

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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.