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Finding the Fourth Proportional to 973.92, 1,344.54 and 740.64

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Solution

The fourth proportional to 973.92, 1,344.54 and 740.64 is: 1,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.92 : 1,344.54 = 740.64 : x
  2. Step 2: Convert to fraction form
    973.92/1,344.54 = 740.64/x
  3. Step 3: Cross multiply
    973.92x = 1,344.54 × 740.64
  4. Step 4: Simplify right side
    973.92x = 995,820.11
  5. Step 5: Solve for x
    x = 995,820.11/973.92
  6. Step 6: Final answer
    x = 1,022.49

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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.