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Finding the Fourth Proportional to 434.01, 653.97 and 358.63

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Solution

The fourth proportional to 434.01, 653.97 and 358.63 is: 540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.01 : 653.97 = 358.63 : x
  2. Step 2: Convert to fraction form
    434.01/653.97 = 358.63/x
  3. Step 3: Cross multiply
    434.01x = 653.97 × 358.63
  4. Step 4: Simplify right side
    434.01x = 234,532.97
  5. Step 5: Solve for x
    x = 234,532.97/434.01
  6. Step 6: Final answer
    x = 540.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.