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Finding the Fourth Proportional to 691.41, 954.83 and 455.51

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Solution

The fourth proportional to 691.41, 954.83 and 455.51 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.41 : 954.83 = 455.51 : x
  2. Step 2: Convert to fraction form
    691.41/954.83 = 455.51/x
  3. Step 3: Cross multiply
    691.41x = 954.83 × 455.51
  4. Step 4: Simplify right side
    691.41x = 434,934.61
  5. Step 5: Solve for x
    x = 434,934.61/691.41
  6. Step 6: Final answer
    x = 629.05

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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.