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Finding the Fourth Proportional to 977.08, 1,349.44 and 758.64

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Solution

The fourth proportional to 977.08, 1,349.44 and 758.64 is: 1,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.08 : 1,349.44 = 758.64 : x
  2. Step 2: Convert to fraction form
    977.08/1,349.44 = 758.64/x
  3. Step 3: Cross multiply
    977.08x = 1,349.44 × 758.64
  4. Step 4: Simplify right side
    977.08x = 1,023,739.16
  5. Step 5: Solve for x
    x = 1,023,739.16/977.08
  6. Step 6: Final answer
    x = 1,047.75

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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.