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Finding the Fourth Proportional to 487.03, 726.80 and 435.13

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Solution

The fourth proportional to 487.03, 726.80 and 435.13 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.03 : 726.80 = 435.13 : x
  2. Step 2: Convert to fraction form
    487.03/726.80 = 435.13/x
  3. Step 3: Cross multiply
    487.03x = 726.80 × 435.13
  4. Step 4: Simplify right side
    487.03x = 316,252.48
  5. Step 5: Solve for x
    x = 316,252.48/487.03
  6. Step 6: Final answer
    x = 649.35

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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.