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Finding the Fourth Proportional to 954.69, 1,433.36 and 492.81

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Solution

The fourth proportional to 954.69, 1,433.36 and 492.81 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,433.36 = 492.81 : x
  2. Step 2: Convert to fraction form
    954.69/1,433.36 = 492.81/x
  3. Step 3: Cross multiply
    954.69x = 1,433.36 × 492.81
  4. Step 4: Simplify right side
    954.69x = 706,374.14
  5. Step 5: Solve for x
    x = 706,374.14/954.69
  6. Step 6: Final answer
    x = 739.90

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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.