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Finding the Fourth Proportional to 1,096.32, 1,513.08 and 654.24

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Solution

The fourth proportional to 1,096.32, 1,513.08 and 654.24 is: 902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.32 : 1,513.08 = 654.24 : x
  2. Step 2: Convert to fraction form
    1,096.32/1,513.08 = 654.24/x
  3. Step 3: Cross multiply
    1,096.32x = 1,513.08 × 654.24
  4. Step 4: Simplify right side
    1,096.32x = 989,917.46
  5. Step 5: Solve for x
    x = 989,917.46/1,096.32
  6. Step 6: Final answer
    x = 902.95

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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.