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Finding the Fourth Proportional to 851.84, 1,278.14 and 462.13

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Solution

The fourth proportional to 851.84, 1,278.14 and 462.13 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.84 : 1,278.14 = 462.13 : x
  2. Step 2: Convert to fraction form
    851.84/1,278.14 = 462.13/x
  3. Step 3: Cross multiply
    851.84x = 1,278.14 × 462.13
  4. Step 4: Simplify right side
    851.84x = 590,658.14
  5. Step 5: Solve for x
    x = 590,658.14/851.84
  6. Step 6: Final answer
    x = 693.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.