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Finding the Fourth Proportional to 1,763.78, 2,433.95 and 977.77

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Solution

The fourth proportional to 1,763.78, 2,433.95 and 977.77 is: 1,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.78 : 2,433.95 = 977.77 : x
  2. Step 2: Convert to fraction form
    1,763.78/2,433.95 = 977.77/x
  3. Step 3: Cross multiply
    1,763.78x = 2,433.95 × 977.77
  4. Step 4: Simplify right side
    1,763.78x = 2,379,845.11
  5. Step 5: Solve for x
    x = 2,379,845.11/1,763.78
  6. Step 6: Final answer
    x = 1,349.29

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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.