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Finding the Fourth Proportional to 948.50, 1,308.82 and 528.82

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Solution

The fourth proportional to 948.50, 1,308.82 and 528.82 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.50 : 1,308.82 = 528.82 : x
  2. Step 2: Convert to fraction form
    948.50/1,308.82 = 528.82/x
  3. Step 3: Cross multiply
    948.50x = 1,308.82 × 528.82
  4. Step 4: Simplify right side
    948.50x = 692,121.00
  5. Step 5: Solve for x
    x = 692,121.00/948.50
  6. Step 6: Final answer
    x = 729.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.