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Finding the Fourth Proportional to 809.99, 1,215.68 and 502.11

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Solution

The fourth proportional to 809.99, 1,215.68 and 502.11 is: 753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.99 : 1,215.68 = 502.11 : x
  2. Step 2: Convert to fraction form
    809.99/1,215.68 = 502.11/x
  3. Step 3: Cross multiply
    809.99x = 1,215.68 × 502.11
  4. Step 4: Simplify right side
    809.99x = 610,402.57
  5. Step 5: Solve for x
    x = 610,402.57/809.99
  6. Step 6: Final answer
    x = 753.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.