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Finding the Fourth Proportional to 977.36, 1,466.12 and 720.39

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Solution

The fourth proportional to 977.36, 1,466.12 and 720.39 is: 1,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,466.12 = 720.39 : x
  2. Step 2: Convert to fraction form
    977.36/1,466.12 = 720.39/x
  3. Step 3: Cross multiply
    977.36x = 1,466.12 × 720.39
  4. Step 4: Simplify right side
    977.36x = 1,056,174.58
  5. Step 5: Solve for x
    x = 1,056,174.58/977.36
  6. Step 6: Final answer
    x = 1,080.64

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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.