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Finding the Fourth Proportional to 781.20, 1,170.99 and 507.45

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Solution

The fourth proportional to 781.20, 1,170.99 and 507.45 is: 760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.20 : 1,170.99 = 507.45 : x
  2. Step 2: Convert to fraction form
    781.20/1,170.99 = 507.45/x
  3. Step 3: Cross multiply
    781.20x = 1,170.99 × 507.45
  4. Step 4: Simplify right side
    781.20x = 594,218.88
  5. Step 5: Solve for x
    x = 594,218.88/781.20
  6. Step 6: Final answer
    x = 760.65

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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.