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Finding the Fourth Proportional to 690.33, 1,029.87 and 568.22

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Solution

The fourth proportional to 690.33, 1,029.87 and 568.22 is: 847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,029.87 = 568.22 : x
  2. Step 2: Convert to fraction form
    690.33/1,029.87 = 568.22/x
  3. Step 3: Cross multiply
    690.33x = 1,029.87 × 568.22
  4. Step 4: Simplify right side
    690.33x = 585,189.89
  5. Step 5: Solve for x
    x = 585,189.89/690.33
  6. Step 6: Final answer
    x = 847.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.