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Finding the Fourth Proportional to 1,407.92, 2,112.30 and 434.10

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Solution

The fourth proportional to 1,407.92, 2,112.30 and 434.10 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.92 : 2,112.30 = 434.10 : x
  2. Step 2: Convert to fraction form
    1,407.92/2,112.30 = 434.10/x
  3. Step 3: Cross multiply
    1,407.92x = 2,112.30 × 434.10
  4. Step 4: Simplify right side
    1,407.92x = 916,949.43
  5. Step 5: Solve for x
    x = 916,949.43/1,407.92
  6. Step 6: Final answer
    x = 651.28

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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.