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Finding the Fourth Proportional to 687.08, 947.74 and 421.38

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Solution

The fourth proportional to 687.08, 947.74 and 421.38 is: 581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.08 : 947.74 = 421.38 : x
  2. Step 2: Convert to fraction form
    687.08/947.74 = 421.38/x
  3. Step 3: Cross multiply
    687.08x = 947.74 × 421.38
  4. Step 4: Simplify right side
    687.08x = 399,358.68
  5. Step 5: Solve for x
    x = 399,358.68/687.08
  6. Step 6: Final answer
    x = 581.24

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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.