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Finding the Fourth Proportional to 1,188.32, 1,640.06 and 684.32

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Solution

The fourth proportional to 1,188.32, 1,640.06 and 684.32 is: 944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.32 : 1,640.06 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,188.32/1,640.06 = 684.32/x
  3. Step 3: Cross multiply
    1,188.32x = 1,640.06 × 684.32
  4. Step 4: Simplify right side
    1,188.32x = 1,122,325.86
  5. Step 5: Solve for x
    x = 1,122,325.86/1,188.32
  6. Step 6: Final answer
    x = 944.46

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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.