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Finding the Fourth Proportional to 1,129.23, 1,692.67 and 471.46

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Solution

The fourth proportional to 1,129.23, 1,692.67 and 471.46 is: 706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.23 : 1,692.67 = 471.46 : x
  2. Step 2: Convert to fraction form
    1,129.23/1,692.67 = 471.46/x
  3. Step 3: Cross multiply
    1,129.23x = 1,692.67 × 471.46
  4. Step 4: Simplify right side
    1,129.23x = 798,026.20
  5. Step 5: Solve for x
    x = 798,026.20/1,129.23
  6. Step 6: Final answer
    x = 706.70

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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.