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Finding the Fourth Proportional to 1,359.14, 1,875.60 and 738.14

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Solution

The fourth proportional to 1,359.14, 1,875.60 and 738.14 is: 1,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.14 : 1,875.60 = 738.14 : x
  2. Step 2: Convert to fraction form
    1,359.14/1,875.60 = 738.14/x
  3. Step 3: Cross multiply
    1,359.14x = 1,875.60 × 738.14
  4. Step 4: Simplify right side
    1,359.14x = 1,384,446.01
  5. Step 5: Solve for x
    x = 1,384,446.01/1,359.14
  6. Step 6: Final answer
    x = 1,018.62

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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.