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Finding the Fourth Proportional to 926.64, 1,386.72 and 816.48

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Solution

The fourth proportional to 926.64, 1,386.72 and 816.48 is: 1,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,386.72 = 816.48 : x
  2. Step 2: Convert to fraction form
    926.64/1,386.72 = 816.48/x
  3. Step 3: Cross multiply
    926.64x = 1,386.72 × 816.48
  4. Step 4: Simplify right side
    926.64x = 1,132,229.15
  5. Step 5: Solve for x
    x = 1,132,229.15/926.64
  6. Step 6: Final answer
    x = 1,221.87

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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.