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Finding the Fourth Proportional to 827.66, 1,240.67 and 535.11

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Solution

The fourth proportional to 827.66, 1,240.67 and 535.11 is: 802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,240.67 = 535.11 : x
  2. Step 2: Convert to fraction form
    827.66/1,240.67 = 535.11/x
  3. Step 3: Cross multiply
    827.66x = 1,240.67 × 535.11
  4. Step 4: Simplify right side
    827.66x = 663,892.25
  5. Step 5: Solve for x
    x = 663,892.25/827.66
  6. Step 6: Final answer
    x = 802.14

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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.