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Finding the Fourth Proportional to 851.74, 1,175.03 and 497.63

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Solution

The fourth proportional to 851.74, 1,175.03 and 497.63 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.74 : 1,175.03 = 497.63 : x
  2. Step 2: Convert to fraction form
    851.74/1,175.03 = 497.63/x
  3. Step 3: Cross multiply
    851.74x = 1,175.03 × 497.63
  4. Step 4: Simplify right side
    851.74x = 584,730.18
  5. Step 5: Solve for x
    x = 584,730.18/851.74
  6. Step 6: Final answer
    x = 686.51

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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.