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Finding the Fourth Proportional to 525.64, 789.68 and 498.04

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Solution

The fourth proportional to 525.64, 789.68 and 498.04 is: 748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 789.68 = 498.04 : x
  2. Step 2: Convert to fraction form
    525.64/789.68 = 498.04/x
  3. Step 3: Cross multiply
    525.64x = 789.68 × 498.04
  4. Step 4: Simplify right side
    525.64x = 393,292.23
  5. Step 5: Solve for x
    x = 393,292.23/525.64
  6. Step 6: Final answer
    x = 748.22

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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.