Home / 1,031.19-1,545.36-800.34

Finding the Fourth Proportional to 1,031.19, 1,545.36 and 800.34

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Solution

The fourth proportional to 1,031.19, 1,545.36 and 800.34 is: 1,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.19 : 1,545.36 = 800.34 : x
  2. Step 2: Convert to fraction form
    1,031.19/1,545.36 = 800.34/x
  3. Step 3: Cross multiply
    1,031.19x = 1,545.36 × 800.34
  4. Step 4: Simplify right side
    1,031.19x = 1,236,813.42
  5. Step 5: Solve for x
    x = 1,236,813.42/1,031.19
  6. Step 6: Final answer
    x = 1,199.40

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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.