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Finding the Fourth Proportional to 522.71, 783.14 and 466.21

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Solution

The fourth proportional to 522.71, 783.14 and 466.21 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.71 : 783.14 = 466.21 : x
  2. Step 2: Convert to fraction form
    522.71/783.14 = 466.21/x
  3. Step 3: Cross multiply
    522.71x = 783.14 × 466.21
  4. Step 4: Simplify right side
    522.71x = 365,107.70
  5. Step 5: Solve for x
    x = 365,107.70/522.71
  6. Step 6: Final answer
    x = 698.49

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Half scale
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Double scale
Find fourth proportional to 523.71, 784.64 and 467.21
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.