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Finding the Fourth Proportional to 591.37, 810.18 and 569.20

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Solution

The fourth proportional to 591.37, 810.18 and 569.20 is: 779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.37 : 810.18 = 569.20 : x
  2. Step 2: Convert to fraction form
    591.37/810.18 = 569.20/x
  3. Step 3: Cross multiply
    591.37x = 810.18 × 569.20
  4. Step 4: Simplify right side
    591.37x = 461,151.61
  5. Step 5: Solve for x
    x = 461,151.61/591.37
  6. Step 6: Final answer
    x = 779.81

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Double scale
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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.