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Finding the Fourth Proportional to 687.30, 942.74 and 687.30

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Solution

The fourth proportional to 687.30, 942.74 and 687.30 is: 942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.30 : 942.74 = 687.30 : x
  2. Step 2: Convert to fraction form
    687.30/942.74 = 687.30/x
  3. Step 3: Cross multiply
    687.30x = 942.74 × 687.30
  4. Step 4: Simplify right side
    687.30x = 647,941.77
  5. Step 5: Solve for x
    x = 647,941.77/687.30
  6. Step 6: Final answer
    x = 942.74

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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 (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.