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Finding the Fourth Proportional to 530.81, 733.03 and 429.97

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Solution

The fourth proportional to 530.81, 733.03 and 429.97 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.81 : 733.03 = 429.97 : x
  2. Step 2: Convert to fraction form
    530.81/733.03 = 429.97/x
  3. Step 3: Cross multiply
    530.81x = 733.03 × 429.97
  4. Step 4: Simplify right side
    530.81x = 315,176.93
  5. Step 5: Solve for x
    x = 315,176.93/530.81
  6. Step 6: Final answer
    x = 593.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.