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Finding the Fourth Proportional to 977.88, 1,461.09 and 943.86

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Solution

The fourth proportional to 977.88, 1,461.09 and 943.86 is: 1,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.88 : 1,461.09 = 943.86 : x
  2. Step 2: Convert to fraction form
    977.88/1,461.09 = 943.86/x
  3. Step 3: Cross multiply
    977.88x = 1,461.09 × 943.86
  4. Step 4: Simplify right side
    977.88x = 1,379,064.41
  5. Step 5: Solve for x
    x = 1,379,064.41/977.88
  6. Step 6: Final answer
    x = 1,410.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.