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Finding the Fourth Proportional to 610.18, 910.85 and 567.46

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Solution

The fourth proportional to 610.18, 910.85 and 567.46 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.18 : 910.85 = 567.46 : x
  2. Step 2: Convert to fraction form
    610.18/910.85 = 567.46/x
  3. Step 3: Cross multiply
    610.18x = 910.85 × 567.46
  4. Step 4: Simplify right side
    610.18x = 516,863.55
  5. Step 5: Solve for x
    x = 516,863.55/610.18
  6. Step 6: Final answer
    x = 847.07

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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.