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Finding the Fourth Proportional to 1,114.72, 1,672.05 and 465.43

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Solution

The fourth proportional to 1,114.72, 1,672.05 and 465.43 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.72 : 1,672.05 = 465.43 : x
  2. Step 2: Convert to fraction form
    1,114.72/1,672.05 = 465.43/x
  3. Step 3: Cross multiply
    1,114.72x = 1,672.05 × 465.43
  4. Step 4: Simplify right side
    1,114.72x = 778,222.23
  5. Step 5: Solve for x
    x = 778,222.23/1,114.72
  6. Step 6: Final answer
    x = 698.13

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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.