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Finding the Fourth Proportional to 1,190.89, 1,787.07 and 574.66

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Solution

The fourth proportional to 1,190.89, 1,787.07 and 574.66 is: 862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.89 : 1,787.07 = 574.66 : x
  2. Step 2: Convert to fraction form
    1,190.89/1,787.07 = 574.66/x
  3. Step 3: Cross multiply
    1,190.89x = 1,787.07 × 574.66
  4. Step 4: Simplify right side
    1,190.89x = 1,026,948.71
  5. Step 5: Solve for x
    x = 1,026,948.71/1,190.89
  6. Step 6: Final answer
    x = 862.34

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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.