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Finding the Fourth Proportional to 672.84, 927.89 and 578.28

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Solution

The fourth proportional to 672.84, 927.89 and 578.28 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 927.89 = 578.28 : x
  2. Step 2: Convert to fraction form
    672.84/927.89 = 578.28/x
  3. Step 3: Cross multiply
    672.84x = 927.89 × 578.28
  4. Step 4: Simplify right side
    672.84x = 536,580.23
  5. Step 5: Solve for x
    x = 536,580.23/672.84
  6. Step 6: Final answer
    x = 797.49

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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.