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Finding the Fourth Proportional to 1,477.50, 2,039.24 and 880.11

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Solution

The fourth proportional to 1,477.50, 2,039.24 and 880.11 is: 1,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.50 : 2,039.24 = 880.11 : x
  2. Step 2: Convert to fraction form
    1,477.50/2,039.24 = 880.11/x
  3. Step 3: Cross multiply
    1,477.50x = 2,039.24 × 880.11
  4. Step 4: Simplify right side
    1,477.50x = 1,794,751.12
  5. Step 5: Solve for x
    x = 1,794,751.12/1,477.50
  6. Step 6: Final answer
    x = 1,214.72

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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.