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Finding the Fourth Proportional to 954.58, 1,317.09 and 605.14

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Solution

The fourth proportional to 954.58, 1,317.09 and 605.14 is: 834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.58 : 1,317.09 = 605.14 : x
  2. Step 2: Convert to fraction form
    954.58/1,317.09 = 605.14/x
  3. Step 3: Cross multiply
    954.58x = 1,317.09 × 605.14
  4. Step 4: Simplify right side
    954.58x = 797,023.84
  5. Step 5: Solve for x
    x = 797,023.84/954.58
  6. Step 6: Final answer
    x = 834.95

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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.