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Finding the Fourth Proportional to 977.00, 1,345.97 and 681.74

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Solution

The fourth proportional to 977.00, 1,345.97 and 681.74 is: 939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.00 : 1,345.97 = 681.74 : x
  2. Step 2: Convert to fraction form
    977.00/1,345.97 = 681.74/x
  3. Step 3: Cross multiply
    977.00x = 1,345.97 × 681.74
  4. Step 4: Simplify right side
    977.00x = 917,596.56
  5. Step 5: Solve for x
    x = 917,596.56/977.00
  6. Step 6: Final answer
    x = 939.20

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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.