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Finding the Fourth Proportional to 854.47, 1,178.04 and 559.63

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Solution

The fourth proportional to 854.47, 1,178.04 and 559.63 is: 771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.47 : 1,178.04 = 559.63 : x
  2. Step 2: Convert to fraction form
    854.47/1,178.04 = 559.63/x
  3. Step 3: Cross multiply
    854.47x = 1,178.04 × 559.63
  4. Step 4: Simplify right side
    854.47x = 659,266.53
  5. Step 5: Solve for x
    x = 659,266.53/854.47
  6. Step 6: Final answer
    x = 771.55

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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.