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Finding the Fourth Proportional to 851.57, 1,175.16 and 589.73

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Solution

The fourth proportional to 851.57, 1,175.16 and 589.73 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.57 : 1,175.16 = 589.73 : x
  2. Step 2: Convert to fraction form
    851.57/1,175.16 = 589.73/x
  3. Step 3: Cross multiply
    851.57x = 1,175.16 × 589.73
  4. Step 4: Simplify right side
    851.57x = 693,024.16
  5. Step 5: Solve for x
    x = 693,024.16/851.57
  6. Step 6: Final answer
    x = 813.82

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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.