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Finding the Fourth Proportional to 1,127.25, 1,690.86 and 294.31

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Solution

The fourth proportional to 1,127.25, 1,690.86 and 294.31 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.25 : 1,690.86 = 294.31 : x
  2. Step 2: Convert to fraction form
    1,127.25/1,690.86 = 294.31/x
  3. Step 3: Cross multiply
    1,127.25x = 1,690.86 × 294.31
  4. Step 4: Simplify right side
    1,127.25x = 497,637.01
  5. Step 5: Solve for x
    x = 497,637.01/1,127.25
  6. Step 6: Final answer
    x = 441.46

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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.