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Finding the Fourth Proportional to 1,407.96, 2,111.94 and 434.07

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Solution

The fourth proportional to 1,407.96, 2,111.94 and 434.07 is: 651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.96 : 2,111.94 = 434.07 : x
  2. Step 2: Convert to fraction form
    1,407.96/2,111.94 = 434.07/x
  3. Step 3: Cross multiply
    1,407.96x = 2,111.94 × 434.07
  4. Step 4: Simplify right side
    1,407.96x = 916,729.80
  5. Step 5: Solve for x
    x = 916,729.80/1,407.96
  6. Step 6: Final answer
    x = 651.11

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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.