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Finding the Fourth Proportional to 571.68, 853.29 and 513.36

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Solution

The fourth proportional to 571.68, 853.29 and 513.36 is: 766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 853.29 = 513.36 : x
  2. Step 2: Convert to fraction form
    571.68/853.29 = 513.36/x
  3. Step 3: Cross multiply
    571.68x = 853.29 × 513.36
  4. Step 4: Simplify right side
    571.68x = 438,044.95
  5. Step 5: Solve for x
    x = 438,044.95/571.68
  6. Step 6: Final answer
    x = 766.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.