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Finding the Fourth Proportional to 522.54, 721.38 and 412.38

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Solution

The fourth proportional to 522.54, 721.38 and 412.38 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 721.38 = 412.38 : x
  2. Step 2: Convert to fraction form
    522.54/721.38 = 412.38/x
  3. Step 3: Cross multiply
    522.54x = 721.38 × 412.38
  4. Step 4: Simplify right side
    522.54x = 297,482.68
  5. Step 5: Solve for x
    x = 297,482.68/522.54
  6. Step 6: Final answer
    x = 569.30

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.