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Finding the Fourth Proportional to 585.50, 807.79 and 375.66

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Solution

The fourth proportional to 585.50, 807.79 and 375.66 is: 518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 807.79 = 375.66 : x
  2. Step 2: Convert to fraction form
    585.50/807.79 = 375.66/x
  3. Step 3: Cross multiply
    585.50x = 807.79 × 375.66
  4. Step 4: Simplify right side
    585.50x = 303,453.45
  5. Step 5: Solve for x
    x = 303,453.45/585.50
  6. Step 6: Final answer
    x = 518.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.