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Finding the Fourth Proportional to 616.77, 920.63 and 605.97

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Solution

The fourth proportional to 616.77, 920.63 and 605.97 is: 904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 920.63 = 605.97 : x
  2. Step 2: Convert to fraction form
    616.77/920.63 = 605.97/x
  3. Step 3: Cross multiply
    616.77x = 920.63 × 605.97
  4. Step 4: Simplify right side
    616.77x = 557,875.68
  5. Step 5: Solve for x
    x = 557,875.68/616.77
  6. Step 6: Final answer
    x = 904.51

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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.