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Finding the Fourth Proportional to 610.68, 910.95 and 573.42

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Solution

The fourth proportional to 610.68, 910.95 and 573.42 is: 855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 910.95 = 573.42 : x
  2. Step 2: Convert to fraction form
    610.68/910.95 = 573.42/x
  3. Step 3: Cross multiply
    610.68x = 910.95 × 573.42
  4. Step 4: Simplify right side
    610.68x = 522,356.95
  5. Step 5: Solve for x
    x = 522,356.95/610.68
  6. Step 6: Final answer
    x = 855.37

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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.