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Finding the Fourth Proportional to 1,828.76, 2,742.80 and 658.72

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Solution

The fourth proportional to 1,828.76, 2,742.80 and 658.72 is: 987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.76 : 2,742.80 = 658.72 : x
  2. Step 2: Convert to fraction form
    1,828.76/2,742.80 = 658.72/x
  3. Step 3: Cross multiply
    1,828.76x = 2,742.80 × 658.72
  4. Step 4: Simplify right side
    1,828.76x = 1,806,737.22
  5. Step 5: Solve for x
    x = 1,806,737.22/1,828.76
  6. Step 6: Final answer
    x = 987.96

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1.5x scale

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.