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Finding the Fourth Proportional to 851.76, 1,174.65 and 631.26

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Solution

The fourth proportional to 851.76, 1,174.65 and 631.26 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,174.65 = 631.26 : x
  2. Step 2: Convert to fraction form
    851.76/1,174.65 = 631.26/x
  3. Step 3: Cross multiply
    851.76x = 1,174.65 × 631.26
  4. Step 4: Simplify right side
    851.76x = 741,509.56
  5. Step 5: Solve for x
    x = 741,509.56/851.76
  6. Step 6: Final answer
    x = 870.56

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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.