Home / 1,407.31-2,110.98-433.41

Finding the Fourth Proportional to 1,407.31, 2,110.98 and 433.41

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Solution

The fourth proportional to 1,407.31, 2,110.98 and 433.41 is: 650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.31 : 2,110.98 = 433.41 : x
  2. Step 2: Convert to fraction form
    1,407.31/2,110.98 = 433.41/x
  3. Step 3: Cross multiply
    1,407.31x = 2,110.98 × 433.41
  4. Step 4: Simplify right side
    1,407.31x = 914,913.55
  5. Step 5: Solve for x
    x = 914,913.55/1,407.31
  6. Step 6: Final answer
    x = 650.12

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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.