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Finding the Fourth Proportional to 919.92, 1,252.51 and 917.00

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Solution

The fourth proportional to 919.92, 1,252.51 and 917.00 is: 1,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.92 : 1,252.51 = 917.00 : x
  2. Step 2: Convert to fraction form
    919.92/1,252.51 = 917.00/x
  3. Step 3: Cross multiply
    919.92x = 1,252.51 × 917.00
  4. Step 4: Simplify right side
    919.92x = 1,148,552.51
  5. Step 5: Solve for x
    x = 1,148,552.51/919.92
  6. Step 6: Final answer
    x = 1,248.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.