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Finding the Fourth Proportional to 1,720.26, 2,373.98 and 974.20

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Solution

The fourth proportional to 1,720.26, 2,373.98 and 974.20 is: 1,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.26 : 2,373.98 = 974.20 : x
  2. Step 2: Convert to fraction form
    1,720.26/2,373.98 = 974.20/x
  3. Step 3: Cross multiply
    1,720.26x = 2,373.98 × 974.20
  4. Step 4: Simplify right side
    1,720.26x = 2,312,731.32
  5. Step 5: Solve for x
    x = 2,312,731.32/1,720.26
  6. Step 6: Final answer
    x = 1,344.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.