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Finding the Fourth Proportional to 583.17, 799.49 and 569.67

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Solution

The fourth proportional to 583.17, 799.49 and 569.67 is: 780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.17 : 799.49 = 569.67 : x
  2. Step 2: Convert to fraction form
    583.17/799.49 = 569.67/x
  3. Step 3: Cross multiply
    583.17x = 799.49 × 569.67
  4. Step 4: Simplify right side
    583.17x = 455,442.62
  5. Step 5: Solve for x
    x = 455,442.62/583.17
  6. Step 6: Final answer
    x = 780.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.