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Finding the Fourth Proportional to 926.16, 1,387.92 and 810

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Solution

The fourth proportional to 926.16, 1,387.92 and 810 is: 1,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,387.92 = 810 : x
  2. Step 2: Convert to fraction form
    926.16/1,387.92 = 810/x
  3. Step 3: Cross multiply
    926.16x = 1,387.92 × 810
  4. Step 4: Simplify right side
    926.16x = 1,124,215.20
  5. Step 5: Solve for x
    x = 1,124,215.20/926.16
  6. Step 6: Final answer
    x = 1,213.85

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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.