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Finding the Fourth Proportional to 526.54, 788.85 and 343.54

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Solution

The fourth proportional to 526.54, 788.85 and 343.54 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.54 : 788.85 = 343.54 : x
  2. Step 2: Convert to fraction form
    526.54/788.85 = 343.54/x
  3. Step 3: Cross multiply
    526.54x = 788.85 × 343.54
  4. Step 4: Simplify right side
    526.54x = 271,001.53
  5. Step 5: Solve for x
    x = 271,001.53/526.54
  6. Step 6: Final answer
    x = 514.68

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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.