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Finding the Fourth Proportional to 977.02, 1,341.06 and 869.76

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Solution

The fourth proportional to 977.02, 1,341.06 and 869.76 is: 1,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.02 : 1,341.06 = 869.76 : x
  2. Step 2: Convert to fraction form
    977.02/1,341.06 = 869.76/x
  3. Step 3: Cross multiply
    977.02x = 1,341.06 × 869.76
  4. Step 4: Simplify right side
    977.02x = 1,166,400.35
  5. Step 5: Solve for x
    x = 1,166,400.35/977.02
  6. Step 6: Final answer
    x = 1,193.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.