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Finding the Fourth Proportional to 1,250.70, 1,875.37 and 384.90

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Solution

The fourth proportional to 1,250.70, 1,875.37 and 384.90 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.70 : 1,875.37 = 384.90 : x
  2. Step 2: Convert to fraction form
    1,250.70/1,875.37 = 384.90/x
  3. Step 3: Cross multiply
    1,250.70x = 1,875.37 × 384.90
  4. Step 4: Simplify right side
    1,250.70x = 721,829.91
  5. Step 5: Solve for x
    x = 721,829.91/1,250.70
  6. Step 6: Final answer
    x = 577.14

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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.