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Finding the Fourth Proportional to 974.58, 1,345.40 and 661.49

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Solution

The fourth proportional to 974.58, 1,345.40 and 661.49 is: 913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,345.40 = 661.49 : x
  2. Step 2: Convert to fraction form
    974.58/1,345.40 = 661.49/x
  3. Step 3: Cross multiply
    974.58x = 1,345.40 × 661.49
  4. Step 4: Simplify right side
    974.58x = 889,958.61
  5. Step 5: Solve for x
    x = 889,958.61/974.58
  6. Step 6: Final answer
    x = 913.17

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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.