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Finding the Fourth Proportional to 525.24, 724.62 and 317.88

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Solution

The fourth proportional to 525.24, 724.62 and 317.88 is: 438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 724.62 = 317.88 : x
  2. Step 2: Convert to fraction form
    525.24/724.62 = 317.88/x
  3. Step 3: Cross multiply
    525.24x = 724.62 × 317.88
  4. Step 4: Simplify right side
    525.24x = 230,342.21
  5. Step 5: Solve for x
    x = 230,342.21/525.24
  6. Step 6: Final answer
    x = 438.55

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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.