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Finding the Fourth Proportional to 986.43, 1,472.64 and 877.08

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Solution

The fourth proportional to 986.43, 1,472.64 and 877.08 is: 1,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,472.64 = 877.08 : x
  2. Step 2: Convert to fraction form
    986.43/1,472.64 = 877.08/x
  3. Step 3: Cross multiply
    986.43x = 1,472.64 × 877.08
  4. Step 4: Simplify right side
    986.43x = 1,291,623.21
  5. Step 5: Solve for x
    x = 1,291,623.21/986.43
  6. Step 6: Final answer
    x = 1,309.39

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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.