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Finding the Fourth Proportional to 525.55, 724.99 and 315.73

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Solution

The fourth proportional to 525.55, 724.99 and 315.73 is: 435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 724.99 = 315.73 : x
  2. Step 2: Convert to fraction form
    525.55/724.99 = 315.73/x
  3. Step 3: Cross multiply
    525.55x = 724.99 × 315.73
  4. Step 4: Simplify right side
    525.55x = 228,899.51
  5. Step 5: Solve for x
    x = 228,899.51/525.55
  6. Step 6: Final answer
    x = 435.55

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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.