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Finding the Fourth Proportional to 1,224.90, 1,689.74 and 776.01

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Solution

The fourth proportional to 1,224.90, 1,689.74 and 776.01 is: 1,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.90 : 1,689.74 = 776.01 : x
  2. Step 2: Convert to fraction form
    1,224.90/1,689.74 = 776.01/x
  3. Step 3: Cross multiply
    1,224.90x = 1,689.74 × 776.01
  4. Step 4: Simplify right side
    1,224.90x = 1,311,251.26
  5. Step 5: Solve for x
    x = 1,311,251.26/1,224.90
  6. Step 6: Final answer
    x = 1,070.50

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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.