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Finding the Fourth Proportional to 821.04, 1,131.47 and 587.76

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Solution

The fourth proportional to 821.04, 1,131.47 and 587.76 is: 809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,131.47 = 587.76 : x
  2. Step 2: Convert to fraction form
    821.04/1,131.47 = 587.76/x
  3. Step 3: Cross multiply
    821.04x = 1,131.47 × 587.76
  4. Step 4: Simplify right side
    821.04x = 665,029.87
  5. Step 5: Solve for x
    x = 665,029.87/821.04
  6. Step 6: Final answer
    x = 809.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.