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Finding the Fourth Proportional to 838.05, 1,256.09 and 473.19

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Solution

The fourth proportional to 838.05, 1,256.09 and 473.19 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.05 : 1,256.09 = 473.19 : x
  2. Step 2: Convert to fraction form
    838.05/1,256.09 = 473.19/x
  3. Step 3: Cross multiply
    838.05x = 1,256.09 × 473.19
  4. Step 4: Simplify right side
    838.05x = 594,366.86
  5. Step 5: Solve for x
    x = 594,366.86/838.05
  6. Step 6: Final answer
    x = 709.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.