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Finding the Fourth Proportional to 551.63, 824.45 and 507.85

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Solution

The fourth proportional to 551.63, 824.45 and 507.85 is: 759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.63 : 824.45 = 507.85 : x
  2. Step 2: Convert to fraction form
    551.63/824.45 = 507.85/x
  3. Step 3: Cross multiply
    551.63x = 824.45 × 507.85
  4. Step 4: Simplify right side
    551.63x = 418,692.33
  5. Step 5: Solve for x
    x = 418,692.33/551.63
  6. Step 6: Final answer
    x = 759.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.