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Finding the Fourth Proportional to 525.40, 788.03 and 379.85

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Solution

The fourth proportional to 525.40, 788.03 and 379.85 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 788.03 = 379.85 : x
  2. Step 2: Convert to fraction form
    525.40/788.03 = 379.85/x
  3. Step 3: Cross multiply
    525.40x = 788.03 × 379.85
  4. Step 4: Simplify right side
    525.40x = 299,328.78
  5. Step 5: Solve for x
    x = 299,328.78/525.40
  6. Step 6: Final answer
    x = 569.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.