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Finding the Fourth Proportional to 691.72, 953.30 and 612.06

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Solution

The fourth proportional to 691.72, 953.30 and 612.06 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.72 : 953.30 = 612.06 : x
  2. Step 2: Convert to fraction form
    691.72/953.30 = 612.06/x
  3. Step 3: Cross multiply
    691.72x = 953.30 × 612.06
  4. Step 4: Simplify right side
    691.72x = 583,476.80
  5. Step 5: Solve for x
    x = 583,476.80/691.72
  6. Step 6: Final answer
    x = 843.52

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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.