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Finding the Fourth Proportional to 1,585.60, 2,379.63 and 1,037.63

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Solution

The fourth proportional to 1,585.60, 2,379.63 and 1,037.63 is: 1,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.60 : 2,379.63 = 1,037.63 : x
  2. Step 2: Convert to fraction form
    1,585.60/2,379.63 = 1,037.63/x
  3. Step 3: Cross multiply
    1,585.60x = 2,379.63 × 1,037.63
  4. Step 4: Simplify right side
    1,585.60x = 2,469,175.48
  5. Step 5: Solve for x
    x = 2,469,175.48/1,585.60
  6. Step 6: Final answer
    x = 1,557.25

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1.5x scale

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.