Home / 1,022.90-1,534.14-292.30

Finding the Fourth Proportional to 1,022.90, 1,534.14 and 292.30

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Solution

The fourth proportional to 1,022.90, 1,534.14 and 292.30 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,534.14 = 292.30 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,534.14 = 292.30/x
  3. Step 3: Cross multiply
    1,022.90x = 1,534.14 × 292.30
  4. Step 4: Simplify right side
    1,022.90x = 448,425.29
  5. Step 5: Solve for x
    x = 448,425.29/1,022.90
  6. Step 6: Final answer
    x = 438.39

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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.