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Finding the Fourth Proportional to 954.35, 1,431.43 and 465.92

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Solution

The fourth proportional to 954.35, 1,431.43 and 465.92 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.35 : 1,431.43 = 465.92 : x
  2. Step 2: Convert to fraction form
    954.35/1,431.43 = 465.92/x
  3. Step 3: Cross multiply
    954.35x = 1,431.43 × 465.92
  4. Step 4: Simplify right side
    954.35x = 666,934.28
  5. Step 5: Solve for x
    x = 666,934.28/954.35
  6. Step 6: Final answer
    x = 698.83

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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.