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Finding the Fourth Proportional to 687.34, 948.16 and 521.28

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Solution

The fourth proportional to 687.34, 948.16 and 521.28 is: 719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.34 : 948.16 = 521.28 : x
  2. Step 2: Convert to fraction form
    687.34/948.16 = 521.28/x
  3. Step 3: Cross multiply
    687.34x = 948.16 × 521.28
  4. Step 4: Simplify right side
    687.34x = 494,255.54
  5. Step 5: Solve for x
    x = 494,255.54/687.34
  6. Step 6: Final answer
    x = 719.09

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Double scale
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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.