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Finding the Fourth Proportional to 526.43, 788.12 and 306.39

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Solution

The fourth proportional to 526.43, 788.12 and 306.39 is: 458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.43 : 788.12 = 306.39 : x
  2. Step 2: Convert to fraction form
    526.43/788.12 = 306.39/x
  3. Step 3: Cross multiply
    526.43x = 788.12 × 306.39
  4. Step 4: Simplify right side
    526.43x = 241,466.61
  5. Step 5: Solve for x
    x = 241,466.61/526.43
  6. Step 6: Final answer
    x = 458.69

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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.