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Finding the Fourth Proportional to 1,102.70, 1,652.85 and 486.30

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Solution

The fourth proportional to 1,102.70, 1,652.85 and 486.30 is: 728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.70 : 1,652.85 = 486.30 : x
  2. Step 2: Convert to fraction form
    1,102.70/1,652.85 = 486.30/x
  3. Step 3: Cross multiply
    1,102.70x = 1,652.85 × 486.30
  4. Step 4: Simplify right side
    1,102.70x = 803,780.96
  5. Step 5: Solve for x
    x = 803,780.96/1,102.70
  6. Step 6: Final answer
    x = 728.92

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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.