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Finding the Fourth Proportional to 1,127.15, 1,690.74 and 305.42

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Solution

The fourth proportional to 1,127.15, 1,690.74 and 305.42 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.15 : 1,690.74 = 305.42 : x
  2. Step 2: Convert to fraction form
    1,127.15/1,690.74 = 305.42/x
  3. Step 3: Cross multiply
    1,127.15x = 1,690.74 × 305.42
  4. Step 4: Simplify right side
    1,127.15x = 516,390.04
  5. Step 5: Solve for x
    x = 516,390.04/1,127.15
  6. Step 6: Final answer
    x = 458.14

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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.