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Finding the Fourth Proportional to 526.53, 788.18 and 282.45

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Solution

The fourth proportional to 526.53, 788.18 and 282.45 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.53 : 788.18 = 282.45 : x
  2. Step 2: Convert to fraction form
    526.53/788.18 = 282.45/x
  3. Step 3: Cross multiply
    526.53x = 788.18 × 282.45
  4. Step 4: Simplify right side
    526.53x = 222,620.03
  5. Step 5: Solve for x
    x = 222,620.03/526.53
  6. Step 6: Final answer
    x = 422.81

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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.