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Finding the Fourth Proportional to 610.85, 916.56 and 286.23

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Solution

The fourth proportional to 610.85, 916.56 and 286.23 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 916.56 = 286.23 : x
  2. Step 2: Convert to fraction form
    610.85/916.56 = 286.23/x
  3. Step 3: Cross multiply
    610.85x = 916.56 × 286.23
  4. Step 4: Simplify right side
    610.85x = 262,346.97
  5. Step 5: Solve for x
    x = 262,346.97/610.85
  6. Step 6: Final answer
    x = 429.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.