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Finding the Fourth Proportional to 1,117.13, 1,675.78 and 347.63

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Solution

The fourth proportional to 1,117.13, 1,675.78 and 347.63 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.13 : 1,675.78 = 347.63 : x
  2. Step 2: Convert to fraction form
    1,117.13/1,675.78 = 347.63/x
  3. Step 3: Cross multiply
    1,117.13x = 1,675.78 × 347.63
  4. Step 4: Simplify right side
    1,117.13x = 582,542.15
  5. Step 5: Solve for x
    x = 582,542.15/1,117.13
  6. Step 6: Final answer
    x = 521.47

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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.