Home / 1,430.11-2,142.16-734.66

Finding the Fourth Proportional to 1,430.11, 2,142.16 and 734.66

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Solution

The fourth proportional to 1,430.11, 2,142.16 and 734.66 is: 1,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.11 : 2,142.16 = 734.66 : x
  2. Step 2: Convert to fraction form
    1,430.11/2,142.16 = 734.66/x
  3. Step 3: Cross multiply
    1,430.11x = 2,142.16 × 734.66
  4. Step 4: Simplify right side
    1,430.11x = 1,573,746.72
  5. Step 5: Solve for x
    x = 1,573,746.72/1,430.11
  6. Step 6: Final answer
    x = 1,100.44

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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.