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Finding the Fourth Proportional to 538.83, 807.39 and 376.20

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Solution

The fourth proportional to 538.83, 807.39 and 376.20 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 807.39 = 376.20 : x
  2. Step 2: Convert to fraction form
    538.83/807.39 = 376.20/x
  3. Step 3: Cross multiply
    538.83x = 807.39 × 376.20
  4. Step 4: Simplify right side
    538.83x = 303,740.12
  5. Step 5: Solve for x
    x = 303,740.12/538.83
  6. Step 6: Final answer
    x = 563.70

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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.