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Finding the Fourth Proportional to 755.03, 1,043.13 and 714.02

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Solution

The fourth proportional to 755.03, 1,043.13 and 714.02 is: 986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.03 : 1,043.13 = 714.02 : x
  2. Step 2: Convert to fraction form
    755.03/1,043.13 = 714.02/x
  3. Step 3: Cross multiply
    755.03x = 1,043.13 × 714.02
  4. Step 4: Simplify right side
    755.03x = 744,815.68
  5. Step 5: Solve for x
    x = 744,815.68/755.03
  6. Step 6: Final answer
    x = 986.47

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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.