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Finding the Fourth Proportional to 838.34, 1,156.19 and 539.63

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Solution

The fourth proportional to 838.34, 1,156.19 and 539.63 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.34 : 1,156.19 = 539.63 : x
  2. Step 2: Convert to fraction form
    838.34/1,156.19 = 539.63/x
  3. Step 3: Cross multiply
    838.34x = 1,156.19 × 539.63
  4. Step 4: Simplify right side
    838.34x = 623,919.05
  5. Step 5: Solve for x
    x = 623,919.05/838.34
  6. Step 6: Final answer
    x = 744.24

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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.