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Finding the Fourth Proportional to 981.66, 1,464.90 and 877.86

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Solution

The fourth proportional to 981.66, 1,464.90 and 877.86 is: 1,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.66 : 1,464.90 = 877.86 : x
  2. Step 2: Convert to fraction form
    981.66/1,464.90 = 877.86/x
  3. Step 3: Cross multiply
    981.66x = 1,464.90 × 877.86
  4. Step 4: Simplify right side
    981.66x = 1,285,977.11
  5. Step 5: Solve for x
    x = 1,285,977.11/981.66
  6. Step 6: Final answer
    x = 1,310.00

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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.