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Finding the Fourth Proportional to 571.24, 853.04 and 448.12

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Solution

The fourth proportional to 571.24, 853.04 and 448.12 is: 669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 853.04 = 448.12 : x
  2. Step 2: Convert to fraction form
    571.24/853.04 = 448.12/x
  3. Step 3: Cross multiply
    571.24x = 853.04 × 448.12
  4. Step 4: Simplify right side
    571.24x = 382,264.28
  5. Step 5: Solve for x
    x = 382,264.28/571.24
  6. Step 6: Final answer
    x = 669.18

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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.