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Finding the Fourth Proportional to 434.65, 649.28 and 391.24

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Solution

The fourth proportional to 434.65, 649.28 and 391.24 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.65 : 649.28 = 391.24 : x
  2. Step 2: Convert to fraction form
    434.65/649.28 = 391.24/x
  3. Step 3: Cross multiply
    434.65x = 649.28 × 391.24
  4. Step 4: Simplify right side
    434.65x = 254,024.31
  5. Step 5: Solve for x
    x = 254,024.31/434.65
  6. Step 6: Final answer
    x = 584.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.