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Finding the Fourth Proportional to 653.32, 978.12 and 496.66

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Solution

The fourth proportional to 653.32, 978.12 and 496.66 is: 743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 978.12 = 496.66 : x
  2. Step 2: Convert to fraction form
    653.32/978.12 = 496.66/x
  3. Step 3: Cross multiply
    653.32x = 978.12 × 496.66
  4. Step 4: Simplify right side
    653.32x = 485,793.08
  5. Step 5: Solve for x
    x = 485,793.08/653.32
  6. Step 6: Final answer
    x = 743.58

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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.