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Finding the Fourth Proportional to 972.71, 1,342 and 677.87

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Solution

The fourth proportional to 972.71, 1,342 and 677.87 is: 935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.71 : 1,342 = 677.87 : x
  2. Step 2: Convert to fraction form
    972.71/1,342 = 677.87/x
  3. Step 3: Cross multiply
    972.71x = 1,342 × 677.87
  4. Step 4: Simplify right side
    972.71x = 909,701.54
  5. Step 5: Solve for x
    x = 909,701.54/972.71
  6. Step 6: Final answer
    x = 935.22

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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.