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Finding the Fourth Proportional to 977.58, 1,347.51 and 728.49

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Solution

The fourth proportional to 977.58, 1,347.51 and 728.49 is: 1,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,347.51 = 728.49 : x
  2. Step 2: Convert to fraction form
    977.58/1,347.51 = 728.49/x
  3. Step 3: Cross multiply
    977.58x = 1,347.51 × 728.49
  4. Step 4: Simplify right side
    977.58x = 981,647.56
  5. Step 5: Solve for x
    x = 981,647.56/977.58
  6. Step 6: Final answer
    x = 1,004.16

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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.