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Finding the Fourth Proportional to 525.70, 792.29 and 493.30

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Solution

The fourth proportional to 525.70, 792.29 and 493.30 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 792.29 = 493.30 : x
  2. Step 2: Convert to fraction form
    525.70/792.29 = 493.30/x
  3. Step 3: Cross multiply
    525.70x = 792.29 × 493.30
  4. Step 4: Simplify right side
    525.70x = 390,836.66
  5. Step 5: Solve for x
    x = 390,836.66/525.70
  6. Step 6: Final answer
    x = 743.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.