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Finding the Fourth Proportional to 948.48, 1,308.84 and 528.80

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Solution

The fourth proportional to 948.48, 1,308.84 and 528.80 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.48 : 1,308.84 = 528.80 : x
  2. Step 2: Convert to fraction form
    948.48/1,308.84 = 528.80/x
  3. Step 3: Cross multiply
    948.48x = 1,308.84 × 528.80
  4. Step 4: Simplify right side
    948.48x = 692,114.59
  5. Step 5: Solve for x
    x = 692,114.59/948.48
  6. Step 6: Final answer
    x = 729.71

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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.