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Finding the Fourth Proportional to 734.30, 1,012.19 and 547.50

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Solution

The fourth proportional to 734.30, 1,012.19 and 547.50 is: 754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.30 : 1,012.19 = 547.50 : x
  2. Step 2: Convert to fraction form
    734.30/1,012.19 = 547.50/x
  3. Step 3: Cross multiply
    734.30x = 1,012.19 × 547.50
  4. Step 4: Simplify right side
    734.30x = 554,175.39
  5. Step 5: Solve for x
    x = 554,175.39/734.30
  6. Step 6: Final answer
    x = 754.70

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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.