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Finding the Fourth Proportional to 677.94, 935.82 and 500.60

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Solution

The fourth proportional to 677.94, 935.82 and 500.60 is: 691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 935.82 = 500.60 : x
  2. Step 2: Convert to fraction form
    677.94/935.82 = 500.60/x
  3. Step 3: Cross multiply
    677.94x = 935.82 × 500.60
  4. Step 4: Simplify right side
    677.94x = 468,466.81
  5. Step 5: Solve for x
    x = 468,466.81/677.94
  6. Step 6: Final answer
    x = 691.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.