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Finding the Fourth Proportional to 1,125.10, 1,687.70 and 384.70

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Solution

The fourth proportional to 1,125.10, 1,687.70 and 384.70 is: 577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.10 : 1,687.70 = 384.70 : x
  2. Step 2: Convert to fraction form
    1,125.10/1,687.70 = 384.70/x
  3. Step 3: Cross multiply
    1,125.10x = 1,687.70 × 384.70
  4. Step 4: Simplify right side
    1,125.10x = 649,258.19
  5. Step 5: Solve for x
    x = 649,258.19/1,125.10
  6. Step 6: Final answer
    x = 577.07

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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.