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Finding the Fourth Proportional to 1,168.75, 1,612.92 and 644.77

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Solution

The fourth proportional to 1,168.75, 1,612.92 and 644.77 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.75 : 1,612.92 = 644.77 : x
  2. Step 2: Convert to fraction form
    1,168.75/1,612.92 = 644.77/x
  3. Step 3: Cross multiply
    1,168.75x = 1,612.92 × 644.77
  4. Step 4: Simplify right side
    1,168.75x = 1,039,962.43
  5. Step 5: Solve for x
    x = 1,039,962.43/1,168.75
  6. Step 6: Final answer
    x = 889.81

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1.5x scale

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.