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Finding the Fourth Proportional to 591.62, 810.52 and 569.45

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Solution

The fourth proportional to 591.62, 810.52 and 569.45 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.62 : 810.52 = 569.45 : x
  2. Step 2: Convert to fraction form
    591.62/810.52 = 569.45/x
  3. Step 3: Cross multiply
    591.62x = 810.52 × 569.45
  4. Step 4: Simplify right side
    591.62x = 461,549.19
  5. Step 5: Solve for x
    x = 461,549.19/591.62
  6. Step 6: Final answer
    x = 780.15

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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.