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Finding the Fourth Proportional to 1,008.04, 1,390.96 and 559.88

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Solution

The fourth proportional to 1,008.04, 1,390.96 and 559.88 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.04 : 1,390.96 = 559.88 : x
  2. Step 2: Convert to fraction form
    1,008.04/1,390.96 = 559.88/x
  3. Step 3: Cross multiply
    1,008.04x = 1,390.96 × 559.88
  4. Step 4: Simplify right side
    1,008.04x = 778,770.68
  5. Step 5: Solve for x
    x = 778,770.68/1,008.04
  6. Step 6: Final answer
    x = 772.56

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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.