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Finding the Fourth Proportional to 590.11, 886.40 and 569.64

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Solution

The fourth proportional to 590.11, 886.40 and 569.64 is: 855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.11 : 886.40 = 569.64 : x
  2. Step 2: Convert to fraction form
    590.11/886.40 = 569.64/x
  3. Step 3: Cross multiply
    590.11x = 886.40 × 569.64
  4. Step 4: Simplify right side
    590.11x = 504,928.90
  5. Step 5: Solve for x
    x = 504,928.90/590.11
  6. Step 6: Final answer
    x = 855.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.