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Finding the Fourth Proportional to 948.59, 1,308.99 and 523.20

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Solution

The fourth proportional to 948.59, 1,308.99 and 523.20 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.59 : 1,308.99 = 523.20 : x
  2. Step 2: Convert to fraction form
    948.59/1,308.99 = 523.20/x
  3. Step 3: Cross multiply
    948.59x = 1,308.99 × 523.20
  4. Step 4: Simplify right side
    948.59x = 684,857.02
  5. Step 5: Solve for x
    x = 684,857.02/948.59
  6. Step 6: Final answer
    x = 721.98

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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.