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Finding the Fourth Proportional to 498.66, 745.12 and 380.88

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Solution

The fourth proportional to 498.66, 745.12 and 380.88 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 745.12 = 380.88 : x
  2. Step 2: Convert to fraction form
    498.66/745.12 = 380.88/x
  3. Step 3: Cross multiply
    498.66x = 745.12 × 380.88
  4. Step 4: Simplify right side
    498.66x = 283,801.31
  5. Step 5: Solve for x
    x = 283,801.31/498.66
  6. Step 6: Final answer
    x = 569.13

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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.