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Finding the Fourth Proportional to 927.65, 1,280.17 and 507.99

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Solution

The fourth proportional to 927.65, 1,280.17 and 507.99 is: 701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,280.17 = 507.99 : x
  2. Step 2: Convert to fraction form
    927.65/1,280.17 = 507.99/x
  3. Step 3: Cross multiply
    927.65x = 1,280.17 × 507.99
  4. Step 4: Simplify right side
    927.65x = 650,312.29
  5. Step 5: Solve for x
    x = 650,312.29/927.65
  6. Step 6: Final answer
    x = 701.04

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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.