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Finding the Fourth Proportional to 653.52, 903.92 and 515.02

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Solution

The fourth proportional to 653.52, 903.92 and 515.02 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 903.92 = 515.02 : x
  2. Step 2: Convert to fraction form
    653.52/903.92 = 515.02/x
  3. Step 3: Cross multiply
    653.52x = 903.92 × 515.02
  4. Step 4: Simplify right side
    653.52x = 465,536.88
  5. Step 5: Solve for x
    x = 465,536.88/653.52
  6. Step 6: Final answer
    x = 712.35

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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.