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Finding the Fourth Proportional to 1,031.36, 1,421.16 and 699.80

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Solution

The fourth proportional to 1,031.36, 1,421.16 and 699.80 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.36 : 1,421.16 = 699.80 : x
  2. Step 2: Convert to fraction form
    1,031.36/1,421.16 = 699.80/x
  3. Step 3: Cross multiply
    1,031.36x = 1,421.16 × 699.80
  4. Step 4: Simplify right side
    1,031.36x = 994,527.77
  5. Step 5: Solve for x
    x = 994,527.77/1,031.36
  6. Step 6: Final answer
    x = 964.29

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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.