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Finding the Fourth Proportional to 638.66, 882.02 and 569.94

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Solution

The fourth proportional to 638.66, 882.02 and 569.94 is: 787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.66 : 882.02 = 569.94 : x
  2. Step 2: Convert to fraction form
    638.66/882.02 = 569.94/x
  3. Step 3: Cross multiply
    638.66x = 882.02 × 569.94
  4. Step 4: Simplify right side
    638.66x = 502,698.48
  5. Step 5: Solve for x
    x = 502,698.48/638.66
  6. Step 6: Final answer
    x = 787.11

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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.