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Finding the Fourth Proportional to 1,173.04, 1,618.62 and 725.35

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Solution

The fourth proportional to 1,173.04, 1,618.62 and 725.35 is: 1,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.04 : 1,618.62 = 725.35 : x
  2. Step 2: Convert to fraction form
    1,173.04/1,618.62 = 725.35/x
  3. Step 3: Cross multiply
    1,173.04x = 1,618.62 × 725.35
  4. Step 4: Simplify right side
    1,173.04x = 1,174,066.02
  5. Step 5: Solve for x
    x = 1,174,066.02/1,173.04
  6. Step 6: Final answer
    x = 1,000.87

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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.