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Finding the Fourth Proportional to 1,180.07, 1,776.60 and 977.77

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Solution

The fourth proportional to 1,180.07, 1,776.60 and 977.77 is: 1,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.07 : 1,776.60 = 977.77 : x
  2. Step 2: Convert to fraction form
    1,180.07/1,776.60 = 977.77/x
  3. Step 3: Cross multiply
    1,180.07x = 1,776.60 × 977.77
  4. Step 4: Simplify right side
    1,180.07x = 1,737,108.40
  5. Step 5: Solve for x
    x = 1,737,108.40/1,180.07
  6. Step 6: Final answer
    x = 1,472.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.