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Finding the Fourth Proportional to 706.84, 1,061.14 and 398.64

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Solution

The fourth proportional to 706.84, 1,061.14 and 398.64 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.84 : 1,061.14 = 398.64 : x
  2. Step 2: Convert to fraction form
    706.84/1,061.14 = 398.64/x
  3. Step 3: Cross multiply
    706.84x = 1,061.14 × 398.64
  4. Step 4: Simplify right side
    706.84x = 423,012.85
  5. Step 5: Solve for x
    x = 423,012.85/706.84
  6. Step 6: Final answer
    x = 598.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.