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Finding the Fourth Proportional to 948.13, 1,308.45 and 528.48

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Solution

The fourth proportional to 948.13, 1,308.45 and 528.48 is: 729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.13 : 1,308.45 = 528.48 : x
  2. Step 2: Convert to fraction form
    948.13/1,308.45 = 528.48/x
  3. Step 3: Cross multiply
    948.13x = 1,308.45 × 528.48
  4. Step 4: Simplify right side
    948.13x = 691,489.66
  5. Step 5: Solve for x
    x = 691,489.66/948.13
  6. Step 6: Final answer
    x = 729.32

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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.