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Finding the Fourth Proportional to 1,037.07, 1,561.68 and 765.05

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Solution

The fourth proportional to 1,037.07, 1,561.68 and 765.05 is: 1,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.07 : 1,561.68 = 765.05 : x
  2. Step 2: Convert to fraction form
    1,037.07/1,561.68 = 765.05/x
  3. Step 3: Cross multiply
    1,037.07x = 1,561.68 × 765.05
  4. Step 4: Simplify right side
    1,037.07x = 1,194,755.48
  5. Step 5: Solve for x
    x = 1,194,755.48/1,037.07
  6. Step 6: Final answer
    x = 1,152.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.