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Finding the Fourth Proportional to 530.96, 799.79 and 498.56

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Solution

The fourth proportional to 530.96, 799.79 and 498.56 is: 750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 799.79 = 498.56 : x
  2. Step 2: Convert to fraction form
    530.96/799.79 = 498.56/x
  3. Step 3: Cross multiply
    530.96x = 799.79 × 498.56
  4. Step 4: Simplify right side
    530.96x = 398,743.30
  5. Step 5: Solve for x
    x = 398,743.30/530.96
  6. Step 6: Final answer
    x = 750.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.