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Finding the Fourth Proportional to 780.31, 1,170.48 and 341.47

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Solution

The fourth proportional to 780.31, 1,170.48 and 341.47 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.31 : 1,170.48 = 341.47 : x
  2. Step 2: Convert to fraction form
    780.31/1,170.48 = 341.47/x
  3. Step 3: Cross multiply
    780.31x = 1,170.48 × 341.47
  4. Step 4: Simplify right side
    780.31x = 399,682.02
  5. Step 5: Solve for x
    x = 399,682.02/780.31
  6. Step 6: Final answer
    x = 512.21

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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.