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Finding the Fourth Proportional to 977.22, 1,347.84 and 846

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Solution

The fourth proportional to 977.22, 1,347.84 and 846 is: 1,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.22 : 1,347.84 = 846 : x
  2. Step 2: Convert to fraction form
    977.22/1,347.84 = 846/x
  3. Step 3: Cross multiply
    977.22x = 1,347.84 × 846
  4. Step 4: Simplify right side
    977.22x = 1,140,272.64
  5. Step 5: Solve for x
    x = 1,140,272.64/977.22
  6. Step 6: Final answer
    x = 1,166.85

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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.