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Finding the Fourth Proportional to 1,250.36, 1,875.57 and 325.86

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Solution

The fourth proportional to 1,250.36, 1,875.57 and 325.86 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.36 : 1,875.57 = 325.86 : x
  2. Step 2: Convert to fraction form
    1,250.36/1,875.57 = 325.86/x
  3. Step 3: Cross multiply
    1,250.36x = 1,875.57 × 325.86
  4. Step 4: Simplify right side
    1,250.36x = 611,171.61
  5. Step 5: Solve for x
    x = 611,171.61/1,250.36
  6. Step 6: Final answer
    x = 488.80

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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.