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Finding the Fourth Proportional to 926.25, 1,386.28 and 772.48

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Solution

The fourth proportional to 926.25, 1,386.28 and 772.48 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.25 : 1,386.28 = 772.48 : x
  2. Step 2: Convert to fraction form
    926.25/1,386.28 = 772.48/x
  3. Step 3: Cross multiply
    926.25x = 1,386.28 × 772.48
  4. Step 4: Simplify right side
    926.25x = 1,070,873.57
  5. Step 5: Solve for x
    x = 1,070,873.57/926.25
  6. Step 6: Final answer
    x = 1,156.14

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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.