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Finding the Fourth Proportional to 1,102.00, 1,652.71 and 434.85

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Solution

The fourth proportional to 1,102.00, 1,652.71 and 434.85 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.00 : 1,652.71 = 434.85 : x
  2. Step 2: Convert to fraction form
    1,102.00/1,652.71 = 434.85/x
  3. Step 3: Cross multiply
    1,102.00x = 1,652.71 × 434.85
  4. Step 4: Simplify right side
    1,102.00x = 718,679.86
  5. Step 5: Solve for x
    x = 718,679.86/1,102.00
  6. Step 6: Final answer
    x = 652.16

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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.