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Finding the Fourth Proportional to 691, 953.58 and 484.36

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Solution

The fourth proportional to 691, 953.58 and 484.36 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 953.58 = 484.36 : x
  2. Step 2: Convert to fraction form
    691/953.58 = 484.36/x
  3. Step 3: Cross multiply
    691x = 953.58 × 484.36
  4. Step 4: Simplify right side
    691x = 461,876.01
  5. Step 5: Solve for x
    x = 461,876.01/691
  6. Step 6: Final answer
    x = 668.42

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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.