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Finding the Fourth Proportional to 1,568.67, 2,353.02 and 644.32

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Solution

The fourth proportional to 1,568.67, 2,353.02 and 644.32 is: 966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.67 : 2,353.02 = 644.32 : x
  2. Step 2: Convert to fraction form
    1,568.67/2,353.02 = 644.32/x
  3. Step 3: Cross multiply
    1,568.67x = 2,353.02 × 644.32
  4. Step 4: Simplify right side
    1,568.67x = 1,516,098.37
  5. Step 5: Solve for x
    x = 1,516,098.37/1,568.67
  6. Step 6: Final answer
    x = 966.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.