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Finding the Fourth Proportional to 530.39, 794.09 and 298.87

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Solution

The fourth proportional to 530.39, 794.09 and 298.87 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.39 : 794.09 = 298.87 : x
  2. Step 2: Convert to fraction form
    530.39/794.09 = 298.87/x
  3. Step 3: Cross multiply
    530.39x = 794.09 × 298.87
  4. Step 4: Simplify right side
    530.39x = 237,328.44
  5. Step 5: Solve for x
    x = 237,328.44/530.39
  6. Step 6: Final answer
    x = 447.46

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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.