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Finding the Fourth Proportional to 537.10, 809.76 and 530.18

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Solution

The fourth proportional to 537.10, 809.76 and 530.18 is: 799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 809.76 = 530.18 : x
  2. Step 2: Convert to fraction form
    537.10/809.76 = 530.18/x
  3. Step 3: Cross multiply
    537.10x = 809.76 × 530.18
  4. Step 4: Simplify right side
    537.10x = 429,318.56
  5. Step 5: Solve for x
    x = 429,318.56/537.10
  6. Step 6: Final answer
    x = 799.33

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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.