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Finding the Fourth Proportional to 808.71, 1,115.13 and 546.27

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Solution

The fourth proportional to 808.71, 1,115.13 and 546.27 is: 753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.71 : 1,115.13 = 546.27 : x
  2. Step 2: Convert to fraction form
    808.71/1,115.13 = 546.27/x
  3. Step 3: Cross multiply
    808.71x = 1,115.13 × 546.27
  4. Step 4: Simplify right side
    808.71x = 609,162.07
  5. Step 5: Solve for x
    x = 609,162.07/808.71
  6. Step 6: Final answer
    x = 753.25

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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.