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Finding the Fourth Proportional to 691.93, 954.85 and 381.43

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Solution

The fourth proportional to 691.93, 954.85 and 381.43 is: 526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.93 : 954.85 = 381.43 : x
  2. Step 2: Convert to fraction form
    691.93/954.85 = 381.43/x
  3. Step 3: Cross multiply
    691.93x = 954.85 × 381.43
  4. Step 4: Simplify right side
    691.93x = 364,203.66
  5. Step 5: Solve for x
    x = 364,203.66/691.93
  6. Step 6: Final answer
    x = 526.36

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1.5x scale

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.