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Finding the Fourth Proportional to 571.84, 853.96 and 498.88

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Solution

The fourth proportional to 571.84, 853.96 and 498.88 is: 745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 853.96 = 498.88 : x
  2. Step 2: Convert to fraction form
    571.84/853.96 = 498.88/x
  3. Step 3: Cross multiply
    571.84x = 853.96 × 498.88
  4. Step 4: Simplify right side
    571.84x = 426,023.56
  5. Step 5: Solve for x
    x = 426,023.56/571.84
  6. Step 6: Final answer
    x = 745.00

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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.