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Finding the Fourth Proportional to 522.84, 721.49 and 298.77

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Solution

The fourth proportional to 522.84, 721.49 and 298.77 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 721.49 = 298.77 : x
  2. Step 2: Convert to fraction form
    522.84/721.49 = 298.77/x
  3. Step 3: Cross multiply
    522.84x = 721.49 × 298.77
  4. Step 4: Simplify right side
    522.84x = 215,557.05
  5. Step 5: Solve for x
    x = 215,557.05/522.84
  6. Step 6: Final answer
    x = 412.28

Related Problems

Find fourth proportional to 261.42, 360.75 and 149.38
Half scale
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Double scale
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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.