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Finding the Fourth Proportional to 948.23, 1,308.63 and 528.60

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Solution

The fourth proportional to 948.23, 1,308.63 and 528.60 is: 729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.23 : 1,308.63 = 528.60 : x
  2. Step 2: Convert to fraction form
    948.23/1,308.63 = 528.60/x
  3. Step 3: Cross multiply
    948.23x = 1,308.63 × 528.60
  4. Step 4: Simplify right side
    948.23x = 691,741.82
  5. Step 5: Solve for x
    x = 691,741.82/948.23
  6. Step 6: Final answer
    x = 729.51

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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.