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Finding the Fourth Proportional to 755.07, 1,042.70 and 714.16

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Solution

The fourth proportional to 755.07, 1,042.70 and 714.16 is: 986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.07 : 1,042.70 = 714.16 : x
  2. Step 2: Convert to fraction form
    755.07/1,042.70 = 714.16/x
  3. Step 3: Cross multiply
    755.07x = 1,042.70 × 714.16
  4. Step 4: Simplify right side
    755.07x = 744,654.63
  5. Step 5: Solve for x
    x = 744,654.63/755.07
  6. Step 6: Final answer
    x = 986.21

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1.5x scale

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.