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Finding the Fourth Proportional to 575.30, 863.26 and 438.01

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Solution

The fourth proportional to 575.30, 863.26 and 438.01 is: 657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 863.26 = 438.01 : x
  2. Step 2: Convert to fraction form
    575.30/863.26 = 438.01/x
  3. Step 3: Cross multiply
    575.30x = 863.26 × 438.01
  4. Step 4: Simplify right side
    575.30x = 378,113.26
  5. Step 5: Solve for x
    x = 378,113.26/575.30
  6. Step 6: Final answer
    x = 657.24

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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.