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Finding the Fourth Proportional to 687.16, 948.14 and 411.32

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Solution

The fourth proportional to 687.16, 948.14 and 411.32 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.16 : 948.14 = 411.32 : x
  2. Step 2: Convert to fraction form
    687.16/948.14 = 411.32/x
  3. Step 3: Cross multiply
    687.16x = 948.14 × 411.32
  4. Step 4: Simplify right side
    687.16x = 389,988.94
  5. Step 5: Solve for x
    x = 389,988.94/687.16
  6. Step 6: Final answer
    x = 567.54

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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.