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Finding the Fourth Proportional to 977.72, 1,462.74 and 946.04

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Solution

The fourth proportional to 977.72, 1,462.74 and 946.04 is: 1,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,462.74 = 946.04 : x
  2. Step 2: Convert to fraction form
    977.72/1,462.74 = 946.04/x
  3. Step 3: Cross multiply
    977.72x = 1,462.74 × 946.04
  4. Step 4: Simplify right side
    977.72x = 1,383,810.55
  5. Step 5: Solve for x
    x = 1,383,810.55/977.72
  6. Step 6: Final answer
    x = 1,415.34

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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.