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Finding the Fourth Proportional to 507.10, 761.80 and 437.90

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Solution

The fourth proportional to 507.10, 761.80 and 437.90 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 761.80 = 437.90 : x
  2. Step 2: Convert to fraction form
    507.10/761.80 = 437.90/x
  3. Step 3: Cross multiply
    507.10x = 761.80 × 437.90
  4. Step 4: Simplify right side
    507.10x = 333,593.85
  5. Step 5: Solve for x
    x = 333,593.85/507.10
  6. Step 6: Final answer
    x = 657.84

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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.