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Finding the Fourth Proportional to 2,088.60, 3,133.02 and 549.64

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Solution

The fourth proportional to 2,088.60, 3,133.02 and 549.64 is: 824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.60 : 3,133.02 = 549.64 : x
  2. Step 2: Convert to fraction form
    2,088.60/3,133.02 = 549.64/x
  3. Step 3: Cross multiply
    2,088.60x = 3,133.02 × 549.64
  4. Step 4: Simplify right side
    2,088.60x = 1,722,033.11
  5. Step 5: Solve for x
    x = 1,722,033.11/2,088.60
  6. Step 6: Final answer
    x = 824.49

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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.