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Finding the Fourth Proportional to 551.36, 824.80 and 460.24

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Solution

The fourth proportional to 551.36, 824.80 and 460.24 is: 688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.36 : 824.80 = 460.24 : x
  2. Step 2: Convert to fraction form
    551.36/824.80 = 460.24/x
  3. Step 3: Cross multiply
    551.36x = 824.80 × 460.24
  4. Step 4: Simplify right side
    551.36x = 379,605.95
  5. Step 5: Solve for x
    x = 379,605.95/551.36
  6. Step 6: Final answer
    x = 688.49

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Double scale
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1.5x scale

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.