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Finding the Fourth Proportional to 1,359.40, 1,875.92 and 738.40

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Solution

The fourth proportional to 1,359.40, 1,875.92 and 738.40 is: 1,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.40 : 1,875.92 = 738.40 : x
  2. Step 2: Convert to fraction form
    1,359.40/1,875.92 = 738.40/x
  3. Step 3: Cross multiply
    1,359.40x = 1,875.92 × 738.40
  4. Step 4: Simplify right side
    1,359.40x = 1,385,179.33
  5. Step 5: Solve for x
    x = 1,385,179.33/1,359.40
  6. Step 6: Final answer
    x = 1,018.96

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1.5x scale

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.