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Finding the Fourth Proportional to 854.82, 1,178.82 and 560.16

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Solution

The fourth proportional to 854.82, 1,178.82 and 560.16 is: 772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,178.82 = 560.16 : x
  2. Step 2: Convert to fraction form
    854.82/1,178.82 = 560.16/x
  3. Step 3: Cross multiply
    854.82x = 1,178.82 × 560.16
  4. Step 4: Simplify right side
    854.82x = 660,327.81
  5. Step 5: Solve for x
    x = 660,327.81/854.82
  6. Step 6: Final answer
    x = 772.48

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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.