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Finding the Fourth Proportional to 1,142.93, 1,577.90 and 723.64

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Solution

The fourth proportional to 1,142.93, 1,577.90 and 723.64 is: 999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.93 : 1,577.90 = 723.64 : x
  2. Step 2: Convert to fraction form
    1,142.93/1,577.90 = 723.64/x
  3. Step 3: Cross multiply
    1,142.93x = 1,577.90 × 723.64
  4. Step 4: Simplify right side
    1,142.93x = 1,141,831.56
  5. Step 5: Solve for x
    x = 1,141,831.56/1,142.93
  6. Step 6: Final answer
    x = 999.04

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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.