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Finding the Fourth Proportional to 653.49, 978.72 and 515.59

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Solution

The fourth proportional to 653.49, 978.72 and 515.59 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 978.72 = 515.59 : x
  2. Step 2: Convert to fraction form
    653.49/978.72 = 515.59/x
  3. Step 3: Cross multiply
    653.49x = 978.72 × 515.59
  4. Step 4: Simplify right side
    653.49x = 504,613.86
  5. Step 5: Solve for x
    x = 504,613.86/653.49
  6. Step 6: Final answer
    x = 772.18

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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.