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Finding the Fourth Proportional to 691.64, 954.06 and 467.96

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Solution

The fourth proportional to 691.64, 954.06 and 467.96 is: 645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 954.06 = 467.96 : x
  2. Step 2: Convert to fraction form
    691.64/954.06 = 467.96/x
  3. Step 3: Cross multiply
    691.64x = 954.06 × 467.96
  4. Step 4: Simplify right side
    691.64x = 446,461.92
  5. Step 5: Solve for x
    x = 446,461.92/691.64
  6. Step 6: Final answer
    x = 645.51

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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.