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Finding the Fourth Proportional to 526, 789.90 and 498.64

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Solution

The fourth proportional to 526, 789.90 and 498.64 is: 748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526 : 789.90 = 498.64 : x
  2. Step 2: Convert to fraction form
    526/789.90 = 498.64/x
  3. Step 3: Cross multiply
    526x = 789.90 × 498.64
  4. Step 4: Simplify right side
    526x = 393,875.74
  5. Step 5: Solve for x
    x = 393,875.74/526
  6. Step 6: Final answer
    x = 748.81

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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.