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Finding the Fourth Proportional to 630.65, 869.84 and 434.23

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Solution

The fourth proportional to 630.65, 869.84 and 434.23 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.65 : 869.84 = 434.23 : x
  2. Step 2: Convert to fraction form
    630.65/869.84 = 434.23/x
  3. Step 3: Cross multiply
    630.65x = 869.84 × 434.23
  4. Step 4: Simplify right side
    630.65x = 377,706.28
  5. Step 5: Solve for x
    x = 377,706.28/630.65
  6. Step 6: Final answer
    x = 598.91

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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.