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Finding the Fourth Proportional to 571.50, 788.85 and 416.70

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Solution

The fourth proportional to 571.50, 788.85 and 416.70 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 788.85 = 416.70 : x
  2. Step 2: Convert to fraction form
    571.50/788.85 = 416.70/x
  3. Step 3: Cross multiply
    571.50x = 788.85 × 416.70
  4. Step 4: Simplify right side
    571.50x = 328,713.80
  5. Step 5: Solve for x
    x = 328,713.80/571.50
  6. Step 6: Final answer
    x = 575.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.