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Finding the Fourth Proportional to 1,690.75, 2,333.29 and 944.74

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Solution

The fourth proportional to 1,690.75, 2,333.29 and 944.74 is: 1,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.75 : 2,333.29 = 944.74 : x
  2. Step 2: Convert to fraction form
    1,690.75/2,333.29 = 944.74/x
  3. Step 3: Cross multiply
    1,690.75x = 2,333.29 × 944.74
  4. Step 4: Simplify right side
    1,690.75x = 2,204,347.67
  5. Step 5: Solve for x
    x = 2,204,347.67/1,690.75
  6. Step 6: Final answer
    x = 1,303.77

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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.