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Finding the Fourth Proportional to 1,680.64, 2,318.94 and 934.49

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Solution

The fourth proportional to 1,680.64, 2,318.94 and 934.49 is: 1,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.64 : 2,318.94 = 934.49 : x
  2. Step 2: Convert to fraction form
    1,680.64/2,318.94 = 934.49/x
  3. Step 3: Cross multiply
    1,680.64x = 2,318.94 × 934.49
  4. Step 4: Simplify right side
    1,680.64x = 2,167,026.24
  5. Step 5: Solve for x
    x = 2,167,026.24/1,680.64
  6. Step 6: Final answer
    x = 1,289.41

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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.