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Finding the Fourth Proportional to 522.76, 721.68 and 357.20

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Solution

The fourth proportional to 522.76, 721.68 and 357.20 is: 493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.76 : 721.68 = 357.20 : x
  2. Step 2: Convert to fraction form
    522.76/721.68 = 357.20/x
  3. Step 3: Cross multiply
    522.76x = 721.68 × 357.20
  4. Step 4: Simplify right side
    522.76x = 257,784.10
  5. Step 5: Solve for x
    x = 257,784.10/522.76
  6. Step 6: Final answer
    x = 493.12

Related Problems

Find fourth proportional to 261.38, 360.84 and 178.60
Half scale
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Double scale
Find fourth proportional to 523.76, 723.06 and 358.20
Similar ratio
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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.