Home / 1,407.31-2,110.89-433.29

Finding the Fourth Proportional to 1,407.31, 2,110.89 and 433.29

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Solution

The fourth proportional to 1,407.31, 2,110.89 and 433.29 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.31 : 2,110.89 = 433.29 : x
  2. Step 2: Convert to fraction form
    1,407.31/2,110.89 = 433.29/x
  3. Step 3: Cross multiply
    1,407.31x = 2,110.89 × 433.29
  4. Step 4: Simplify right side
    1,407.31x = 914,627.53
  5. Step 5: Solve for x
    x = 914,627.53/1,407.31
  6. Step 6: Final answer
    x = 649.91

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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.