Home / 1,110.24-1,664.85-648.16

Finding the Fourth Proportional to 1,110.24, 1,664.85 and 648.16

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Solution

The fourth proportional to 1,110.24, 1,664.85 and 648.16 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.24 : 1,664.85 = 648.16 : x
  2. Step 2: Convert to fraction form
    1,110.24/1,664.85 = 648.16/x
  3. Step 3: Cross multiply
    1,110.24x = 1,664.85 × 648.16
  4. Step 4: Simplify right side
    1,110.24x = 1,079,089.18
  5. Step 5: Solve for x
    x = 1,079,089.18/1,110.24
  6. Step 6: Final answer
    x = 971.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.