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Finding the Fourth Proportional to 522.88, 721.86 and 357.34

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Solution

The fourth proportional to 522.88, 721.86 and 357.34 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 721.86 = 357.34 : x
  2. Step 2: Convert to fraction form
    522.88/721.86 = 357.34/x
  3. Step 3: Cross multiply
    522.88x = 721.86 × 357.34
  4. Step 4: Simplify right side
    522.88x = 257,949.45
  5. Step 5: Solve for x
    x = 257,949.45/522.88
  6. Step 6: Final answer
    x = 493.32

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.