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Finding the Fourth Proportional to 526.57, 788.02 and 328.84

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Solution

The fourth proportional to 526.57, 788.02 and 328.84 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.57 : 788.02 = 328.84 : x
  2. Step 2: Convert to fraction form
    526.57/788.02 = 328.84/x
  3. Step 3: Cross multiply
    526.57x = 788.02 × 328.84
  4. Step 4: Simplify right side
    526.57x = 259,132.50
  5. Step 5: Solve for x
    x = 259,132.50/526.57
  6. Step 6: Final answer
    x = 492.11

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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.