Home / 1,407.12-2,110.98-433.29

Finding the Fourth Proportional to 1,407.12, 2,110.98 and 433.29

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Solution

The fourth proportional to 1,407.12, 2,110.98 and 433.29 is: 650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.12 : 2,110.98 = 433.29 : x
  2. Step 2: Convert to fraction form
    1,407.12/2,110.98 = 433.29/x
  3. Step 3: Cross multiply
    1,407.12x = 2,110.98 × 433.29
  4. Step 4: Simplify right side
    1,407.12x = 914,666.52
  5. Step 5: Solve for x
    x = 914,666.52/1,407.12
  6. Step 6: Final answer
    x = 650.03

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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.