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Finding the Fourth Proportional to 980.48, 1,471.57 and 569.05

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Solution

The fourth proportional to 980.48, 1,471.57 and 569.05 is: 854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.48 : 1,471.57 = 569.05 : x
  2. Step 2: Convert to fraction form
    980.48/1,471.57 = 569.05/x
  3. Step 3: Cross multiply
    980.48x = 1,471.57 × 569.05
  4. Step 4: Simplify right side
    980.48x = 837,391.81
  5. Step 5: Solve for x
    x = 837,391.81/980.48
  6. Step 6: Final answer
    x = 854.06

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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.