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Finding the Fourth Proportional to 929.92, 1,280.64 and 909.76

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Solution

The fourth proportional to 929.92, 1,280.64 and 909.76 is: 1,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.92 : 1,280.64 = 909.76 : x
  2. Step 2: Convert to fraction form
    929.92/1,280.64 = 909.76/x
  3. Step 3: Cross multiply
    929.92x = 1,280.64 × 909.76
  4. Step 4: Simplify right side
    929.92x = 1,165,075.05
  5. Step 5: Solve for x
    x = 1,165,075.05/929.92
  6. Step 6: Final answer
    x = 1,252.88

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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.