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Finding the Fourth Proportional to 810.35, 1,213.55 and 462.64

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Solution

The fourth proportional to 810.35, 1,213.55 and 462.64 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,213.55 = 462.64 : x
  2. Step 2: Convert to fraction form
    810.35/1,213.55 = 462.64/x
  3. Step 3: Cross multiply
    810.35x = 1,213.55 × 462.64
  4. Step 4: Simplify right side
    810.35x = 561,436.77
  5. Step 5: Solve for x
    x = 561,436.77/810.35
  6. Step 6: Final answer
    x = 692.83

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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.