Home / 1,407.48-2,111.14-433.56

Finding the Fourth Proportional to 1,407.48, 2,111.14 and 433.56

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Solution

The fourth proportional to 1,407.48, 2,111.14 and 433.56 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.48 : 2,111.14 = 433.56 : x
  2. Step 2: Convert to fraction form
    1,407.48/2,111.14 = 433.56/x
  3. Step 3: Cross multiply
    1,407.48x = 2,111.14 × 433.56
  4. Step 4: Simplify right side
    1,407.48x = 915,305.86
  5. Step 5: Solve for x
    x = 915,305.86/1,407.48
  6. Step 6: Final answer
    x = 650.32

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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.