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Finding the Fourth Proportional to 526.68, 787.86 and 321.24

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Solution

The fourth proportional to 526.68, 787.86 and 321.24 is: 480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 787.86 = 321.24 : x
  2. Step 2: Convert to fraction form
    526.68/787.86 = 321.24/x
  3. Step 3: Cross multiply
    526.68x = 787.86 × 321.24
  4. Step 4: Simplify right side
    526.68x = 253,092.15
  5. Step 5: Solve for x
    x = 253,092.15/526.68
  6. Step 6: Final answer
    x = 480.54

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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.