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Finding the Fourth Proportional to 653.80, 978.78 and 531.88

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Solution

The fourth proportional to 653.80, 978.78 and 531.88 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 978.78 = 531.88 : x
  2. Step 2: Convert to fraction form
    653.80/978.78 = 531.88/x
  3. Step 3: Cross multiply
    653.80x = 978.78 × 531.88
  4. Step 4: Simplify right side
    653.80x = 520,593.51
  5. Step 5: Solve for x
    x = 520,593.51/653.80
  6. Step 6: Final answer
    x = 796.26

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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.