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Finding the Fourth Proportional to 1,152.75, 1,590.80 and 687.27

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Solution

The fourth proportional to 1,152.75, 1,590.80 and 687.27 is: 948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.75 : 1,590.80 = 687.27 : x
  2. Step 2: Convert to fraction form
    1,152.75/1,590.80 = 687.27/x
  3. Step 3: Cross multiply
    1,152.75x = 1,590.80 × 687.27
  4. Step 4: Simplify right side
    1,152.75x = 1,093,305.68
  5. Step 5: Solve for x
    x = 1,093,305.68/1,152.75
  6. Step 6: Final answer
    x = 948.43

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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.