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Finding the Fourth Proportional to 688.04, 1,036.78 and 568.97

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Solution

The fourth proportional to 688.04, 1,036.78 and 568.97 is: 857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.04 : 1,036.78 = 568.97 : x
  2. Step 2: Convert to fraction form
    688.04/1,036.78 = 568.97/x
  3. Step 3: Cross multiply
    688.04x = 1,036.78 × 568.97
  4. Step 4: Simplify right side
    688.04x = 589,896.72
  5. Step 5: Solve for x
    x = 589,896.72/688.04
  6. Step 6: Final answer
    x = 857.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.