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Finding the Fourth Proportional to 526.14, 788.20 and 396.98

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Solution

The fourth proportional to 526.14, 788.20 and 396.98 is: 594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.14 : 788.20 = 396.98 : x
  2. Step 2: Convert to fraction form
    526.14/788.20 = 396.98/x
  3. Step 3: Cross multiply
    526.14x = 788.20 × 396.98
  4. Step 4: Simplify right side
    526.14x = 312,897.66
  5. Step 5: Solve for x
    x = 312,897.66/526.14
  6. Step 6: Final answer
    x = 594.70

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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.