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Finding the Fourth Proportional to 677.28, 927.87 and 652.35

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Solution

The fourth proportional to 677.28, 927.87 and 652.35 is: 893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 927.87 = 652.35 : x
  2. Step 2: Convert to fraction form
    677.28/927.87 = 652.35/x
  3. Step 3: Cross multiply
    677.28x = 927.87 × 652.35
  4. Step 4: Simplify right side
    677.28x = 605,295.99
  5. Step 5: Solve for x
    x = 605,295.99/677.28
  6. Step 6: Final answer
    x = 893.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.