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Finding the Fourth Proportional to 761.13, 1,052.43 and 748.77

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Solution

The fourth proportional to 761.13, 1,052.43 and 748.77 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.13 : 1,052.43 = 748.77 : x
  2. Step 2: Convert to fraction form
    761.13/1,052.43 = 748.77/x
  3. Step 3: Cross multiply
    761.13x = 1,052.43 × 748.77
  4. Step 4: Simplify right side
    761.13x = 788,028.01
  5. Step 5: Solve for x
    x = 788,028.01/761.13
  6. Step 6: Final answer
    x = 1,035.34

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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.