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Finding the Fourth Proportional to 537.71, 810.87 and 530.42

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Solution

The fourth proportional to 537.71, 810.87 and 530.42 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 810.87 = 530.42 : x
  2. Step 2: Convert to fraction form
    537.71/810.87 = 530.42/x
  3. Step 3: Cross multiply
    537.71x = 810.87 × 530.42
  4. Step 4: Simplify right side
    537.71x = 430,097.61
  5. Step 5: Solve for x
    x = 430,097.61/537.71
  6. Step 6: Final answer
    x = 799.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.