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Finding the Fourth Proportional to 755.76, 1,036.16 and 741.89

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Solution

The fourth proportional to 755.76, 1,036.16 and 741.89 is: 1,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,036.16 = 741.89 : x
  2. Step 2: Convert to fraction form
    755.76/1,036.16 = 741.89/x
  3. Step 3: Cross multiply
    755.76x = 1,036.16 × 741.89
  4. Step 4: Simplify right side
    755.76x = 768,718.41
  5. Step 5: Solve for x
    x = 768,718.41/755.76
  6. Step 6: Final answer
    x = 1,017.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.