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Finding the Fourth Proportional to 821.00, 1,132.86 and 526.66

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Solution

The fourth proportional to 821.00, 1,132.86 and 526.66 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.00 : 1,132.86 = 526.66 : x
  2. Step 2: Convert to fraction form
    821.00/1,132.86 = 526.66/x
  3. Step 3: Cross multiply
    821.00x = 1,132.86 × 526.66
  4. Step 4: Simplify right side
    821.00x = 596,635.44
  5. Step 5: Solve for x
    x = 596,635.44/821.00
  6. Step 6: Final answer
    x = 726.72

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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.