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Finding the Fourth Proportional to 693.21, 956.71 and 427.60

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Solution

The fourth proportional to 693.21, 956.71 and 427.60 is: 590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.21 : 956.71 = 427.60 : x
  2. Step 2: Convert to fraction form
    693.21/956.71 = 427.60/x
  3. Step 3: Cross multiply
    693.21x = 956.71 × 427.60
  4. Step 4: Simplify right side
    693.21x = 409,090.93
  5. Step 5: Solve for x
    x = 409,090.93/693.21
  6. Step 6: Final answer
    x = 590.14

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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.