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Finding the Fourth Proportional to 948.20, 1,308.50 and 528.53

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Solution

The fourth proportional to 948.20, 1,308.50 and 528.53 is: 729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.20 : 1,308.50 = 528.53 : x
  2. Step 2: Convert to fraction form
    948.20/1,308.50 = 528.53/x
  3. Step 3: Cross multiply
    948.20x = 1,308.50 × 528.53
  4. Step 4: Simplify right side
    948.20x = 691,583.86
  5. Step 5: Solve for x
    x = 691,583.86/948.20
  6. Step 6: Final answer
    x = 729.37

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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.