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Finding the Fourth Proportional to 821.84, 1,232.40 and 437.36

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Solution

The fourth proportional to 821.84, 1,232.40 and 437.36 is: 655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,232.40 = 437.36 : x
  2. Step 2: Convert to fraction form
    821.84/1,232.40 = 437.36/x
  3. Step 3: Cross multiply
    821.84x = 1,232.40 × 437.36
  4. Step 4: Simplify right side
    821.84x = 539,002.46
  5. Step 5: Solve for x
    x = 539,002.46/821.84
  6. Step 6: Final answer
    x = 655.85

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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.