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Finding the Fourth Proportional to 699.22, 964.86 and 384.42

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Solution

The fourth proportional to 699.22, 964.86 and 384.42 is: 530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 964.86 = 384.42 : x
  2. Step 2: Convert to fraction form
    699.22/964.86 = 384.42/x
  3. Step 3: Cross multiply
    699.22x = 964.86 × 384.42
  4. Step 4: Simplify right side
    699.22x = 370,911.48
  5. Step 5: Solve for x
    x = 370,911.48/699.22
  6. Step 6: Final answer
    x = 530.46

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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.