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Finding the Fourth Proportional to 653.52, 978.48 and 509.52

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Solution

The fourth proportional to 653.52, 978.48 and 509.52 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 978.48 = 509.52 : x
  2. Step 2: Convert to fraction form
    653.52/978.48 = 509.52/x
  3. Step 3: Cross multiply
    653.52x = 978.48 × 509.52
  4. Step 4: Simplify right side
    653.52x = 498,555.13
  5. Step 5: Solve for x
    x = 498,555.13/653.52
  6. Step 6: Final answer
    x = 762.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.