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Finding the Fourth Proportional to 701.16, 967.42 and 421.40

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Solution

The fourth proportional to 701.16, 967.42 and 421.40 is: 581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 967.42 = 421.40 : x
  2. Step 2: Convert to fraction form
    701.16/967.42 = 421.40/x
  3. Step 3: Cross multiply
    701.16x = 967.42 × 421.40
  4. Step 4: Simplify right side
    701.16x = 407,670.79
  5. Step 5: Solve for x
    x = 407,670.79/701.16
  6. Step 6: Final answer
    x = 581.42

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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.