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Finding the Fourth Proportional to 1,116.52, 1,674.80 and 347.04

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Solution

The fourth proportional to 1,116.52, 1,674.80 and 347.04 is: 520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.52 : 1,674.80 = 347.04 : x
  2. Step 2: Convert to fraction form
    1,116.52/1,674.80 = 347.04/x
  3. Step 3: Cross multiply
    1,116.52x = 1,674.80 × 347.04
  4. Step 4: Simplify right side
    1,116.52x = 581,222.59
  5. Step 5: Solve for x
    x = 581,222.59/1,116.52
  6. Step 6: Final answer
    x = 520.57

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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.