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Finding the Fourth Proportional to 948.05, 1,307.92 and 574.38

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Solution

The fourth proportional to 948.05, 1,307.92 and 574.38 is: 792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.05 : 1,307.92 = 574.38 : x
  2. Step 2: Convert to fraction form
    948.05/1,307.92 = 574.38/x
  3. Step 3: Cross multiply
    948.05x = 1,307.92 × 574.38
  4. Step 4: Simplify right side
    948.05x = 751,241.30
  5. Step 5: Solve for x
    x = 751,241.30/948.05
  6. Step 6: Final answer
    x = 792.41

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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.