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Finding the Fourth Proportional to 687.03, 947.61 and 451.13

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Solution

The fourth proportional to 687.03, 947.61 and 451.13 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.03 : 947.61 = 451.13 : x
  2. Step 2: Convert to fraction form
    687.03/947.61 = 451.13/x
  3. Step 3: Cross multiply
    687.03x = 947.61 × 451.13
  4. Step 4: Simplify right side
    687.03x = 427,490.56
  5. Step 5: Solve for x
    x = 427,490.56/687.03
  6. Step 6: Final answer
    x = 622.23

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Half scale
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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.