Home / 1,031.14-1,422.93-565.36

Finding the Fourth Proportional to 1,031.14, 1,422.93 and 565.36

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Solution

The fourth proportional to 1,031.14, 1,422.93 and 565.36 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.14 : 1,422.93 = 565.36 : x
  2. Step 2: Convert to fraction form
    1,031.14/1,422.93 = 565.36/x
  3. Step 3: Cross multiply
    1,031.14x = 1,422.93 × 565.36
  4. Step 4: Simplify right side
    1,031.14x = 804,467.70
  5. Step 5: Solve for x
    x = 804,467.70/1,031.14
  6. Step 6: Final answer
    x = 780.17

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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.