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Finding the Fourth Proportional to 919.90, 1,269.12 and 625.24

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Solution

The fourth proportional to 919.90, 1,269.12 and 625.24 is: 862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.90 : 1,269.12 = 625.24 : x
  2. Step 2: Convert to fraction form
    919.90/1,269.12 = 625.24/x
  3. Step 3: Cross multiply
    919.90x = 1,269.12 × 625.24
  4. Step 4: Simplify right side
    919.90x = 793,504.59
  5. Step 5: Solve for x
    x = 793,504.59/919.90
  6. Step 6: Final answer
    x = 862.60

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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.