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Finding the Fourth Proportional to 883.79, 1,219.28 and 510.70

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Solution

The fourth proportional to 883.79, 1,219.28 and 510.70 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.79 : 1,219.28 = 510.70 : x
  2. Step 2: Convert to fraction form
    883.79/1,219.28 = 510.70/x
  3. Step 3: Cross multiply
    883.79x = 1,219.28 × 510.70
  4. Step 4: Simplify right side
    883.79x = 622,680.69
  5. Step 5: Solve for x
    x = 622,680.69/883.79
  6. Step 6: Final answer
    x = 704.56

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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.