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Finding the Fourth Proportional to 507.50, 700.08 and 341.43

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Solution

The fourth proportional to 507.50, 700.08 and 341.43 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 700.08 = 341.43 : x
  2. Step 2: Convert to fraction form
    507.50/700.08 = 341.43/x
  3. Step 3: Cross multiply
    507.50x = 700.08 × 341.43
  4. Step 4: Simplify right side
    507.50x = 239,028.31
  5. Step 5: Solve for x
    x = 239,028.31/507.50
  6. Step 6: Final answer
    x = 470.99

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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.