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Finding the Fourth Proportional to 653.52, 901.90 and 358.78

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Solution

The fourth proportional to 653.52, 901.90 and 358.78 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 901.90 = 358.78 : x
  2. Step 2: Convert to fraction form
    653.52/901.90 = 358.78/x
  3. Step 3: Cross multiply
    653.52x = 901.90 × 358.78
  4. Step 4: Simplify right side
    653.52x = 323,583.68
  5. Step 5: Solve for x
    x = 323,583.68/653.52
  6. Step 6: Final answer
    x = 495.14

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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.