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Finding the Fourth Proportional to 569.13, 853.02 and 260.70

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Solution

The fourth proportional to 569.13, 853.02 and 260.70 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 853.02 = 260.70 : x
  2. Step 2: Convert to fraction form
    569.13/853.02 = 260.70/x
  3. Step 3: Cross multiply
    569.13x = 853.02 × 260.70
  4. Step 4: Simplify right side
    569.13x = 222,382.31
  5. Step 5: Solve for x
    x = 222,382.31/569.13
  6. Step 6: Final answer
    x = 390.74

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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.