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Finding the Fourth Proportional to 507.60, 761.40 and 426.30

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Solution

The fourth proportional to 507.60, 761.40 and 426.30 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 761.40 = 426.30 : x
  2. Step 2: Convert to fraction form
    507.60/761.40 = 426.30/x
  3. Step 3: Cross multiply
    507.60x = 761.40 × 426.30
  4. Step 4: Simplify right side
    507.60x = 324,584.82
  5. Step 5: Solve for x
    x = 324,584.82/507.60
  6. Step 6: Final answer
    x = 639.45

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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.