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Finding the Fourth Proportional to 927.65, 1,280.15 and 508.03

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Solution

The fourth proportional to 927.65, 1,280.15 and 508.03 is: 701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,280.15 = 508.03 : x
  2. Step 2: Convert to fraction form
    927.65/1,280.15 = 508.03/x
  3. Step 3: Cross multiply
    927.65x = 1,280.15 × 508.03
  4. Step 4: Simplify right side
    927.65x = 650,353.63
  5. Step 5: Solve for x
    x = 650,353.63/927.65
  6. Step 6: Final answer
    x = 701.08

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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.