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Finding the Fourth Proportional to 583.70, 869.29 and 568.28

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Solution

The fourth proportional to 583.70, 869.29 and 568.28 is: 846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 869.29 = 568.28 : x
  2. Step 2: Convert to fraction form
    583.70/869.29 = 568.28/x
  3. Step 3: Cross multiply
    583.70x = 869.29 × 568.28
  4. Step 4: Simplify right side
    583.70x = 494,000.12
  5. Step 5: Solve for x
    x = 494,000.12/583.70
  6. Step 6: Final answer
    x = 846.33

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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.