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Finding the Fourth Proportional to 653.57, 901.90 and 391.43

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Solution

The fourth proportional to 653.57, 901.90 and 391.43 is: 540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.57 : 901.90 = 391.43 : x
  2. Step 2: Convert to fraction form
    653.57/901.90 = 391.43/x
  3. Step 3: Cross multiply
    653.57x = 901.90 × 391.43
  4. Step 4: Simplify right side
    653.57x = 353,030.72
  5. Step 5: Solve for x
    x = 353,030.72/653.57
  6. Step 6: Final answer
    x = 540.16

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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.