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Finding the Fourth Proportional to 954.74, 1,429.34 and 491.42

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Solution

The fourth proportional to 954.74, 1,429.34 and 491.42 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.74 : 1,429.34 = 491.42 : x
  2. Step 2: Convert to fraction form
    954.74/1,429.34 = 491.42/x
  3. Step 3: Cross multiply
    954.74x = 1,429.34 × 491.42
  4. Step 4: Simplify right side
    954.74x = 702,396.66
  5. Step 5: Solve for x
    x = 702,396.66/954.74
  6. Step 6: Final answer
    x = 735.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.