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Finding the Fourth Proportional to 1,129.60, 1,682.72 and 1,029.76

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Solution

The fourth proportional to 1,129.60, 1,682.72 and 1,029.76 is: 1,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.60 : 1,682.72 = 1,029.76 : x
  2. Step 2: Convert to fraction form
    1,129.60/1,682.72 = 1,029.76/x
  3. Step 3: Cross multiply
    1,129.60x = 1,682.72 × 1,029.76
  4. Step 4: Simplify right side
    1,129.60x = 1,732,797.75
  5. Step 5: Solve for x
    x = 1,732,797.75/1,129.60
  6. Step 6: Final answer
    x = 1,533.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.