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Finding the Fourth Proportional to 954.61, 1,431.55 and 441.25

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Solution

The fourth proportional to 954.61, 1,431.55 and 441.25 is: 661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.61 : 1,431.55 = 441.25 : x
  2. Step 2: Convert to fraction form
    954.61/1,431.55 = 441.25/x
  3. Step 3: Cross multiply
    954.61x = 1,431.55 × 441.25
  4. Step 4: Simplify right side
    954.61x = 631,671.44
  5. Step 5: Solve for x
    x = 631,671.44/954.61
  6. Step 6: Final answer
    x = 661.71

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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.