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Finding the Fourth Proportional to 1,587.57, 2,190.87 and 924.59

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Solution

The fourth proportional to 1,587.57, 2,190.87 and 924.59 is: 1,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.57 : 2,190.87 = 924.59 : x
  2. Step 2: Convert to fraction form
    1,587.57/2,190.87 = 924.59/x
  3. Step 3: Cross multiply
    1,587.57x = 2,190.87 × 924.59
  4. Step 4: Simplify right side
    1,587.57x = 2,025,645.54
  5. Step 5: Solve for x
    x = 2,025,645.54/1,587.57
  6. Step 6: Final answer
    x = 1,275.94

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1.5x scale

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.