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Finding the Fourth Proportional to 525.88, 784.22 and 513.46

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Solution

The fourth proportional to 525.88, 784.22 and 513.46 is: 765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.88 : 784.22 = 513.46 : x
  2. Step 2: Convert to fraction form
    525.88/784.22 = 513.46/x
  3. Step 3: Cross multiply
    525.88x = 784.22 × 513.46
  4. Step 4: Simplify right side
    525.88x = 402,665.60
  5. Step 5: Solve for x
    x = 402,665.60/525.88
  6. Step 6: Final answer
    x = 765.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.