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Finding the Fourth Proportional to 653.52, 903.60 and 571.52

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Solution

The fourth proportional to 653.52, 903.60 and 571.52 is: 790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 903.60 = 571.52 : x
  2. Step 2: Convert to fraction form
    653.52/903.60 = 571.52/x
  3. Step 3: Cross multiply
    653.52x = 903.60 × 571.52
  4. Step 4: Simplify right side
    653.52x = 516,425.47
  5. Step 5: Solve for x
    x = 516,425.47/653.52
  6. Step 6: Final answer
    x = 790.22

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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.