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Finding the Fourth Proportional to 460.84, 689.66 and 434.19

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Solution

The fourth proportional to 460.84, 689.66 and 434.19 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 689.66 = 434.19 : x
  2. Step 2: Convert to fraction form
    460.84/689.66 = 434.19/x
  3. Step 3: Cross multiply
    460.84x = 689.66 × 434.19
  4. Step 4: Simplify right side
    460.84x = 299,443.48
  5. Step 5: Solve for x
    x = 299,443.48/460.84
  6. Step 6: Final answer
    x = 649.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.