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Finding the Fourth Proportional to 522.84, 784.04 and 193.72

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Solution

The fourth proportional to 522.84, 784.04 and 193.72 is: 290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 784.04 = 193.72 : x
  2. Step 2: Convert to fraction form
    522.84/784.04 = 193.72/x
  3. Step 3: Cross multiply
    522.84x = 784.04 × 193.72
  4. Step 4: Simplify right side
    522.84x = 151,884.23
  5. Step 5: Solve for x
    x = 151,884.23/522.84
  6. Step 6: Final answer
    x = 290.50

Related Problems

Find fourth proportional to 261.42, 392.02 and 96.86
Half scale
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Double scale
Find fourth proportional to 523.84, 785.54 and 194.72
Similar ratio
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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.