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Finding the Fourth Proportional to 1,037.20, 1,553.60 and 777.59

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Solution

The fourth proportional to 1,037.20, 1,553.60 and 777.59 is: 1,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.20 : 1,553.60 = 777.59 : x
  2. Step 2: Convert to fraction form
    1,037.20/1,553.60 = 777.59/x
  3. Step 3: Cross multiply
    1,037.20x = 1,553.60 × 777.59
  4. Step 4: Simplify right side
    1,037.20x = 1,208,069.65
  5. Step 5: Solve for x
    x = 1,208,069.65/1,037.20
  6. Step 6: Final answer
    x = 1,164.74

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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.