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Finding the Fourth Proportional to 1,184.89, 1,635.07 and 653.75

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Solution

The fourth proportional to 1,184.89, 1,635.07 and 653.75 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.89 : 1,635.07 = 653.75 : x
  2. Step 2: Convert to fraction form
    1,184.89/1,635.07 = 653.75/x
  3. Step 3: Cross multiply
    1,184.89x = 1,635.07 × 653.75
  4. Step 4: Simplify right side
    1,184.89x = 1,068,927.01
  5. Step 5: Solve for x
    x = 1,068,927.01/1,184.89
  6. Step 6: Final answer
    x = 902.14

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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.