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Finding the Fourth Proportional to 815.84, 1,223.20 and 541.24

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Solution

The fourth proportional to 815.84, 1,223.20 and 541.24 is: 811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,223.20 = 541.24 : x
  2. Step 2: Convert to fraction form
    815.84/1,223.20 = 541.24/x
  3. Step 3: Cross multiply
    815.84x = 1,223.20 × 541.24
  4. Step 4: Simplify right side
    815.84x = 662,044.77
  5. Step 5: Solve for x
    x = 662,044.77/815.84
  6. Step 6: Final answer
    x = 811.49

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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.