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Finding the Fourth Proportional to 864.70, 1,297.04 and 518.14

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Solution

The fourth proportional to 864.70, 1,297.04 and 518.14 is: 777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.70 : 1,297.04 = 518.14 : x
  2. Step 2: Convert to fraction form
    864.70/1,297.04 = 518.14/x
  3. Step 3: Cross multiply
    864.70x = 1,297.04 × 518.14
  4. Step 4: Simplify right side
    864.70x = 672,041.82
  5. Step 5: Solve for x
    x = 672,041.82/864.70
  6. Step 6: Final answer
    x = 777.20

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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.