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Finding the Fourth Proportional to 521, 719.60 and 423.26

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Solution

The fourth proportional to 521, 719.60 and 423.26 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 719.60 = 423.26 : x
  2. Step 2: Convert to fraction form
    521/719.60 = 423.26/x
  3. Step 3: Cross multiply
    521x = 719.60 × 423.26
  4. Step 4: Simplify right side
    521x = 304,577.90
  5. Step 5: Solve for x
    x = 304,577.90/521
  6. Step 6: Final answer
    x = 584.60

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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.