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Finding the Fourth Proportional to 1,307.87, 1,805.20 and 748.52

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Solution

The fourth proportional to 1,307.87, 1,805.20 and 748.52 is: 1,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.87 : 1,805.20 = 748.52 : x
  2. Step 2: Convert to fraction form
    1,307.87/1,805.20 = 748.52/x
  3. Step 3: Cross multiply
    1,307.87x = 1,805.20 × 748.52
  4. Step 4: Simplify right side
    1,307.87x = 1,351,224.18
  5. Step 5: Solve for x
    x = 1,351,224.18/1,307.87
  6. Step 6: Final answer
    x = 1,033.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.