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Finding the Fourth Proportional to 927.54, 1,280.61 and 753.30

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Solution

The fourth proportional to 927.54, 1,280.61 and 753.30 is: 1,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.54 : 1,280.61 = 753.30 : x
  2. Step 2: Convert to fraction form
    927.54/1,280.61 = 753.30/x
  3. Step 3: Cross multiply
    927.54x = 1,280.61 × 753.30
  4. Step 4: Simplify right side
    927.54x = 964,683.51
  5. Step 5: Solve for x
    x = 964,683.51/927.54
  6. Step 6: Final answer
    x = 1,040.05

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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.