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Finding the Fourth Proportional to 537.43, 809.64 and 530.71

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Solution

The fourth proportional to 537.43, 809.64 and 530.71 is: 799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.43 : 809.64 = 530.71 : x
  2. Step 2: Convert to fraction form
    537.43/809.64 = 530.71/x
  3. Step 3: Cross multiply
    537.43x = 809.64 × 530.71
  4. Step 4: Simplify right side
    537.43x = 429,684.04
  5. Step 5: Solve for x
    x = 429,684.04/537.43
  6. Step 6: Final answer
    x = 799.52

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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.