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Finding the Fourth Proportional to 562.02, 843.32 and 425.02

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Solution

The fourth proportional to 562.02, 843.32 and 425.02 is: 637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 843.32 = 425.02 : x
  2. Step 2: Convert to fraction form
    562.02/843.32 = 425.02/x
  3. Step 3: Cross multiply
    562.02x = 843.32 × 425.02
  4. Step 4: Simplify right side
    562.02x = 358,427.87
  5. Step 5: Solve for x
    x = 358,427.87/562.02
  6. Step 6: Final answer
    x = 637.75

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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.