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Finding the Fourth Proportional to 684.08, 1,020.78 and 610.45

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Solution

The fourth proportional to 684.08, 1,020.78 and 610.45 is: 910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 1,020.78 = 610.45 : x
  2. Step 2: Convert to fraction form
    684.08/1,020.78 = 610.45/x
  3. Step 3: Cross multiply
    684.08x = 1,020.78 × 610.45
  4. Step 4: Simplify right side
    684.08x = 623,132.60
  5. Step 5: Solve for x
    x = 623,132.60/684.08
  6. Step 6: Final answer
    x = 910.91

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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.