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Finding the Fourth Proportional to 498.13, 745.82 and 376.02

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Solution

The fourth proportional to 498.13, 745.82 and 376.02 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.13 : 745.82 = 376.02 : x
  2. Step 2: Convert to fraction form
    498.13/745.82 = 376.02/x
  3. Step 3: Cross multiply
    498.13x = 745.82 × 376.02
  4. Step 4: Simplify right side
    498.13x = 280,443.24
  5. Step 5: Solve for x
    x = 280,443.24/498.13
  6. Step 6: Final answer
    x = 563.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.