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Finding the Fourth Proportional to 530.82, 794.64 and 286.61

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Solution

The fourth proportional to 530.82, 794.64 and 286.61 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 794.64 = 286.61 : x
  2. Step 2: Convert to fraction form
    530.82/794.64 = 286.61/x
  3. Step 3: Cross multiply
    530.82x = 794.64 × 286.61
  4. Step 4: Simplify right side
    530.82x = 227,751.77
  5. Step 5: Solve for x
    x = 227,751.77/530.82
  6. Step 6: Final answer
    x = 429.06

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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.