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Finding the Fourth Proportional to 781.96, 1,079.60 and 595.12

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Solution

The fourth proportional to 781.96, 1,079.60 and 595.12 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.96 : 1,079.60 = 595.12 : x
  2. Step 2: Convert to fraction form
    781.96/1,079.60 = 595.12/x
  3. Step 3: Cross multiply
    781.96x = 1,079.60 × 595.12
  4. Step 4: Simplify right side
    781.96x = 642,491.55
  5. Step 5: Solve for x
    x = 642,491.55/781.96
  6. Step 6: Final answer
    x = 821.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.