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Finding the Fourth Proportional to 1,407.77, 2,111.69 and 433.88

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Solution

The fourth proportional to 1,407.77, 2,111.69 and 433.88 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.77 : 2,111.69 = 433.88 : x
  2. Step 2: Convert to fraction form
    1,407.77/2,111.69 = 433.88/x
  3. Step 3: Cross multiply
    1,407.77x = 2,111.69 × 433.88
  4. Step 4: Simplify right side
    1,407.77x = 916,220.06
  5. Step 5: Solve for x
    x = 916,220.06/1,407.77
  6. Step 6: Final answer
    x = 650.83

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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.