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Finding the Fourth Proportional to 1,155.72, 1,594.90 and 631.75

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Solution

The fourth proportional to 1,155.72, 1,594.90 and 631.75 is: 871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.72 : 1,594.90 = 631.75 : x
  2. Step 2: Convert to fraction form
    1,155.72/1,594.90 = 631.75/x
  3. Step 3: Cross multiply
    1,155.72x = 1,594.90 × 631.75
  4. Step 4: Simplify right side
    1,155.72x = 1,007,578.08
  5. Step 5: Solve for x
    x = 1,007,578.08/1,155.72
  6. Step 6: Final answer
    x = 871.82

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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.