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Finding the Fourth Proportional to 926.04, 1,387.14 and 559.92

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Solution

The fourth proportional to 926.04, 1,387.14 and 559.92 is: 838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.04 : 1,387.14 = 559.92 : x
  2. Step 2: Convert to fraction form
    926.04/1,387.14 = 559.92/x
  3. Step 3: Cross multiply
    926.04x = 1,387.14 × 559.92
  4. Step 4: Simplify right side
    926.04x = 776,687.43
  5. Step 5: Solve for x
    x = 776,687.43/926.04
  6. Step 6: Final answer
    x = 838.72

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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.