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Finding the Fourth Proportional to 948.12, 1,308.40 and 528.47

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Solution

The fourth proportional to 948.12, 1,308.40 and 528.47 is: 729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.12 : 1,308.40 = 528.47 : x
  2. Step 2: Convert to fraction form
    948.12/1,308.40 = 528.47/x
  3. Step 3: Cross multiply
    948.12x = 1,308.40 × 528.47
  4. Step 4: Simplify right side
    948.12x = 691,442.28
  5. Step 5: Solve for x
    x = 691,442.28/948.12
  6. Step 6: Final answer
    x = 729.28

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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.