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Finding the Fourth Proportional to 862.27, 1,290.60 and 569.99

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Solution

The fourth proportional to 862.27, 1,290.60 and 569.99 is: 853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.27 : 1,290.60 = 569.99 : x
  2. Step 2: Convert to fraction form
    862.27/1,290.60 = 569.99/x
  3. Step 3: Cross multiply
    862.27x = 1,290.60 × 569.99
  4. Step 4: Simplify right side
    862.27x = 735,632.32
  5. Step 5: Solve for x
    x = 735,632.32/862.27
  6. Step 6: Final answer
    x = 853.14

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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.