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Finding the Fourth Proportional to 1,583.04, 2,375.28 and 814.08

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Solution

The fourth proportional to 1,583.04, 2,375.28 and 814.08 is: 1,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.04 : 2,375.28 = 814.08 : x
  2. Step 2: Convert to fraction form
    1,583.04/2,375.28 = 814.08/x
  3. Step 3: Cross multiply
    1,583.04x = 2,375.28 × 814.08
  4. Step 4: Simplify right side
    1,583.04x = 1,933,667.94
  5. Step 5: Solve for x
    x = 1,933,667.94/1,583.04
  6. Step 6: Final answer
    x = 1,221.49

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Half scale
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Double scale
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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.