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Finding the Fourth Proportional to 1,581.59, 2,373 and 703.49

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Solution

The fourth proportional to 1,581.59, 2,373 and 703.49 is: 1,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.59 : 2,373 = 703.49 : x
  2. Step 2: Convert to fraction form
    1,581.59/2,373 = 703.49/x
  3. Step 3: Cross multiply
    1,581.59x = 2,373 × 703.49
  4. Step 4: Simplify right side
    1,581.59x = 1,669,369.91
  5. Step 5: Solve for x
    x = 1,669,369.91/1,581.59
  6. Step 6: Final answer
    x = 1,055.50

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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.