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Finding the Fourth Proportional to 526.48, 789.24 and 382.48

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Solution

The fourth proportional to 526.48, 789.24 and 382.48 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 789.24 = 382.48 : x
  2. Step 2: Convert to fraction form
    526.48/789.24 = 382.48/x
  3. Step 3: Cross multiply
    526.48x = 789.24 × 382.48
  4. Step 4: Simplify right side
    526.48x = 301,868.52
  5. Step 5: Solve for x
    x = 301,868.52/526.48
  6. Step 6: Final answer
    x = 573.37

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1.5x scale

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.