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Finding the Fourth Proportional to 1,095.64, 1,512.18 and 653.57

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Solution

The fourth proportional to 1,095.64, 1,512.18 and 653.57 is: 902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.64 : 1,512.18 = 653.57 : x
  2. Step 2: Convert to fraction form
    1,095.64/1,512.18 = 653.57/x
  3. Step 3: Cross multiply
    1,095.64x = 1,512.18 × 653.57
  4. Step 4: Simplify right side
    1,095.64x = 988,319.26
  5. Step 5: Solve for x
    x = 988,319.26/1,095.64
  6. Step 6: Final answer
    x = 902.05

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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.