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Finding the Fourth Proportional to 851.02, 1,174.68 and 497.11

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Solution

The fourth proportional to 851.02, 1,174.68 and 497.11 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.02 : 1,174.68 = 497.11 : x
  2. Step 2: Convert to fraction form
    851.02/1,174.68 = 497.11/x
  3. Step 3: Cross multiply
    851.02x = 1,174.68 × 497.11
  4. Step 4: Simplify right side
    851.02x = 583,945.17
  5. Step 5: Solve for x
    x = 583,945.17/851.02
  6. Step 6: Final answer
    x = 686.17

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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.