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Finding the Fourth Proportional to 525.51, 725.12 and 315.64

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Solution

The fourth proportional to 525.51, 725.12 and 315.64 is: 435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 725.12 = 315.64 : x
  2. Step 2: Convert to fraction form
    525.51/725.12 = 315.64/x
  3. Step 3: Cross multiply
    525.51x = 725.12 × 315.64
  4. Step 4: Simplify right side
    525.51x = 228,876.88
  5. Step 5: Solve for x
    x = 228,876.88/525.51
  6. Step 6: Final answer
    x = 435.53

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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.