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Finding the Fourth Proportional to 805.61, 1,206.36 and 530.87

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Solution

The fourth proportional to 805.61, 1,206.36 and 530.87 is: 794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.61 : 1,206.36 = 530.87 : x
  2. Step 2: Convert to fraction form
    805.61/1,206.36 = 530.87/x
  3. Step 3: Cross multiply
    805.61x = 1,206.36 × 530.87
  4. Step 4: Simplify right side
    805.61x = 640,414.30
  5. Step 5: Solve for x
    x = 640,414.30/805.61
  6. Step 6: Final answer
    x = 794.94

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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.