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Finding the Fourth Proportional to 948.60, 1,308.98 and 599.24

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Solution

The fourth proportional to 948.60, 1,308.98 and 599.24 is: 826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.60 : 1,308.98 = 599.24 : x
  2. Step 2: Convert to fraction form
    948.60/1,308.98 = 599.24/x
  3. Step 3: Cross multiply
    948.60x = 1,308.98 × 599.24
  4. Step 4: Simplify right side
    948.60x = 784,393.18
  5. Step 5: Solve for x
    x = 784,393.18/948.60
  6. Step 6: Final answer
    x = 826.90

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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.