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Finding the Fourth Proportional to 926.32, 1,387.68 and 561.28

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Solution

The fourth proportional to 926.32, 1,387.68 and 561.28 is: 840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.32 : 1,387.68 = 561.28 : x
  2. Step 2: Convert to fraction form
    926.32/1,387.68 = 561.28/x
  3. Step 3: Cross multiply
    926.32x = 1,387.68 × 561.28
  4. Step 4: Simplify right side
    926.32x = 778,877.03
  5. Step 5: Solve for x
    x = 778,877.03/926.32
  6. Step 6: Final answer
    x = 840.83

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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.