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Finding the Fourth Proportional to 851.79, 1,175.47 and 497.95

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Solution

The fourth proportional to 851.79, 1,175.47 and 497.95 is: 687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.79 : 1,175.47 = 497.95 : x
  2. Step 2: Convert to fraction form
    851.79/1,175.47 = 497.95/x
  3. Step 3: Cross multiply
    851.79x = 1,175.47 × 497.95
  4. Step 4: Simplify right side
    851.79x = 585,325.29
  5. Step 5: Solve for x
    x = 585,325.29/851.79
  6. Step 6: Final answer
    x = 687.17

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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.