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Finding the Fourth Proportional to 610.73, 914.51 and 559.98

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Solution

The fourth proportional to 610.73, 914.51 and 559.98 is: 838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.73 : 914.51 = 559.98 : x
  2. Step 2: Convert to fraction form
    610.73/914.51 = 559.98/x
  3. Step 3: Cross multiply
    610.73x = 914.51 × 559.98
  4. Step 4: Simplify right side
    610.73x = 512,104.51
  5. Step 5: Solve for x
    x = 512,104.51/610.73
  6. Step 6: Final answer
    x = 838.52

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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.