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Finding the Fourth Proportional to 868.78, 1,297.27 and 684.10

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Solution

The fourth proportional to 868.78, 1,297.27 and 684.10 is: 1,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.78 : 1,297.27 = 684.10 : x
  2. Step 2: Convert to fraction form
    868.78/1,297.27 = 684.10/x
  3. Step 3: Cross multiply
    868.78x = 1,297.27 × 684.10
  4. Step 4: Simplify right side
    868.78x = 887,462.41
  5. Step 5: Solve for x
    x = 887,462.41/868.78
  6. Step 6: Final answer
    x = 1,021.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.