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Finding the Fourth Proportional to 810, 1,118.12 and 534.80

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Solution

The fourth proportional to 810, 1,118.12 and 534.80 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 1,118.12 = 534.80 : x
  2. Step 2: Convert to fraction form
    810/1,118.12 = 534.80/x
  3. Step 3: Cross multiply
    810x = 1,118.12 × 534.80
  4. Step 4: Simplify right side
    810x = 597,970.58
  5. Step 5: Solve for x
    x = 597,970.58/810
  6. Step 6: Final answer
    x = 738.24

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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.