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Finding the Fourth Proportional to 808.72, 1,115.84 and 514

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Solution

The fourth proportional to 808.72, 1,115.84 and 514 is: 709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.72 : 1,115.84 = 514 : x
  2. Step 2: Convert to fraction form
    808.72/1,115.84 = 514/x
  3. Step 3: Cross multiply
    808.72x = 1,115.84 × 514
  4. Step 4: Simplify right side
    808.72x = 573,541.76
  5. Step 5: Solve for x
    x = 573,541.76/808.72
  6. Step 6: Final answer
    x = 709.20

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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.