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Finding the Fourth Proportional to 872.70, 1,308.63 and 507.60

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Solution

The fourth proportional to 872.70, 1,308.63 and 507.60 is: 761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.70 : 1,308.63 = 507.60 : x
  2. Step 2: Convert to fraction form
    872.70/1,308.63 = 507.60/x
  3. Step 3: Cross multiply
    872.70x = 1,308.63 × 507.60
  4. Step 4: Simplify right side
    872.70x = 664,260.59
  5. Step 5: Solve for x
    x = 664,260.59/872.70
  6. Step 6: Final answer
    x = 761.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.