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Finding the Fourth Proportional to 530.42, 789.90 and 498.96

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Solution

The fourth proportional to 530.42, 789.90 and 498.96 is: 743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 789.90 = 498.96 : x
  2. Step 2: Convert to fraction form
    530.42/789.90 = 498.96/x
  3. Step 3: Cross multiply
    530.42x = 789.90 × 498.96
  4. Step 4: Simplify right side
    530.42x = 394,128.50
  5. Step 5: Solve for x
    x = 394,128.50/530.42
  6. Step 6: Final answer
    x = 743.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.