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Finding the Fourth Proportional to 954.84, 1,317.69 and 540.84

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Solution

The fourth proportional to 954.84, 1,317.69 and 540.84 is: 746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.84 : 1,317.69 = 540.84 : x
  2. Step 2: Convert to fraction form
    954.84/1,317.69 = 540.84/x
  3. Step 3: Cross multiply
    954.84x = 1,317.69 × 540.84
  4. Step 4: Simplify right side
    954.84x = 712,659.46
  5. Step 5: Solve for x
    x = 712,659.46/954.84
  6. Step 6: Final answer
    x = 746.37

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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.