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Finding the Fourth Proportional to 653.10, 901.27 and 358.38

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Solution

The fourth proportional to 653.10, 901.27 and 358.38 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 901.27 = 358.38 : x
  2. Step 2: Convert to fraction form
    653.10/901.27 = 358.38/x
  3. Step 3: Cross multiply
    653.10x = 901.27 × 358.38
  4. Step 4: Simplify right side
    653.10x = 322,997.14
  5. Step 5: Solve for x
    x = 322,997.14/653.10
  6. Step 6: Final answer
    x = 494.56

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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.