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Finding the Fourth Proportional to 1,349.87, 2,024.81 and 772.34

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Solution

The fourth proportional to 1,349.87, 2,024.81 and 772.34 is: 1,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.87 : 2,024.81 = 772.34 : x
  2. Step 2: Convert to fraction form
    1,349.87/2,024.81 = 772.34/x
  3. Step 3: Cross multiply
    1,349.87x = 2,024.81 × 772.34
  4. Step 4: Simplify right side
    1,349.87x = 1,563,841.76
  5. Step 5: Solve for x
    x = 1,563,841.76/1,349.87
  6. Step 6: Final answer
    x = 1,158.51

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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.