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Finding the Fourth Proportional to 521.91, 719.96 and 512.19

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Solution

The fourth proportional to 521.91, 719.96 and 512.19 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 719.96 = 512.19 : x
  2. Step 2: Convert to fraction form
    521.91/719.96 = 512.19/x
  3. Step 3: Cross multiply
    521.91x = 719.96 × 512.19
  4. Step 4: Simplify right side
    521.91x = 368,753.75
  5. Step 5: Solve for x
    x = 368,753.75/521.91
  6. Step 6: Final answer
    x = 706.55

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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.