Home / 1,407.13-2,110.71-433.24

Finding the Fourth Proportional to 1,407.13, 2,110.71 and 433.24

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Solution

The fourth proportional to 1,407.13, 2,110.71 and 433.24 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.13 : 2,110.71 = 433.24 : x
  2. Step 2: Convert to fraction form
    1,407.13/2,110.71 = 433.24/x
  3. Step 3: Cross multiply
    1,407.13x = 2,110.71 × 433.24
  4. Step 4: Simplify right side
    1,407.13x = 914,444.00
  5. Step 5: Solve for x
    x = 914,444.00/1,407.13
  6. Step 6: Final answer
    x = 649.86

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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.