Home / 1,407.24-2,111.08-433.24

Finding the Fourth Proportional to 1,407.24, 2,111.08 and 433.24

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Solution

The fourth proportional to 1,407.24, 2,111.08 and 433.24 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 2,111.08 = 433.24 : x
  2. Step 2: Convert to fraction form
    1,407.24/2,111.08 = 433.24/x
  3. Step 3: Cross multiply
    1,407.24x = 2,111.08 × 433.24
  4. Step 4: Simplify right side
    1,407.24x = 914,604.30
  5. Step 5: Solve for x
    x = 914,604.30/1,407.24
  6. Step 6: Final answer
    x = 649.93

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1.5x scale

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.