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Finding the Fourth Proportional to 653.35, 901.61 and 358.61

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Solution

The fourth proportional to 653.35, 901.61 and 358.61 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.35 : 901.61 = 358.61 : x
  2. Step 2: Convert to fraction form
    653.35/901.61 = 358.61/x
  3. Step 3: Cross multiply
    653.35x = 901.61 × 358.61
  4. Step 4: Simplify right side
    653.35x = 323,321.85
  5. Step 5: Solve for x
    x = 323,321.85/653.35
  6. Step 6: Final answer
    x = 494.87

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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.