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Finding the Fourth Proportional to 881, 1,215.78 and 513

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Solution

The fourth proportional to 881, 1,215.78 and 513 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    881 : 1,215.78 = 513 : x
  2. Step 2: Convert to fraction form
    881/1,215.78 = 513/x
  3. Step 3: Cross multiply
    881x = 1,215.78 × 513
  4. Step 4: Simplify right side
    881x = 623,695.14
  5. Step 5: Solve for x
    x = 623,695.14/881
  6. Step 6: Final answer
    x = 707.94

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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.