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Finding the Fourth Proportional to 948.90, 1,308.64 and 728.31

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Solution

The fourth proportional to 948.90, 1,308.64 and 728.31 is: 1,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.90 : 1,308.64 = 728.31 : x
  2. Step 2: Convert to fraction form
    948.90/1,308.64 = 728.31/x
  3. Step 3: Cross multiply
    948.90x = 1,308.64 × 728.31
  4. Step 4: Simplify right side
    948.90x = 953,095.60
  5. Step 5: Solve for x
    x = 953,095.60/948.90
  6. Step 6: Final answer
    x = 1,004.42

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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.