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Finding the Fourth Proportional to 1,142.68, 1,577.62 and 723.18

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Solution

The fourth proportional to 1,142.68, 1,577.62 and 723.18 is: 998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.68 : 1,577.62 = 723.18 : x
  2. Step 2: Convert to fraction form
    1,142.68/1,577.62 = 723.18/x
  3. Step 3: Cross multiply
    1,142.68x = 1,577.62 × 723.18
  4. Step 4: Simplify right side
    1,142.68x = 1,140,903.23
  5. Step 5: Solve for x
    x = 1,140,903.23/1,142.68
  6. Step 6: Final answer
    x = 998.45

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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.