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Finding the Fourth Proportional to 1,031, 1,419.66 and 883.34

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Solution

The fourth proportional to 1,031, 1,419.66 and 883.34 is: 1,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031 : 1,419.66 = 883.34 : x
  2. Step 2: Convert to fraction form
    1,031/1,419.66 = 883.34/x
  3. Step 3: Cross multiply
    1,031x = 1,419.66 × 883.34
  4. Step 4: Simplify right side
    1,031x = 1,254,042.46
  5. Step 5: Solve for x
    x = 1,254,042.46/1,031
  6. Step 6: Final answer
    x = 1,216.34

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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.