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Finding the Fourth Proportional to 977.48, 1,464.66 and 716.27

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Solution

The fourth proportional to 977.48, 1,464.66 and 716.27 is: 1,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,464.66 = 716.27 : x
  2. Step 2: Convert to fraction form
    977.48/1,464.66 = 716.27/x
  3. Step 3: Cross multiply
    977.48x = 1,464.66 × 716.27
  4. Step 4: Simplify right side
    977.48x = 1,049,092.02
  5. Step 5: Solve for x
    x = 1,049,092.02/977.48
  6. Step 6: Final answer
    x = 1,073.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.