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Finding the Fourth Proportional to 1,068.94, 1,604.90 and 549.38

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Solution

The fourth proportional to 1,068.94, 1,604.90 and 549.38 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.94 : 1,604.90 = 549.38 : x
  2. Step 2: Convert to fraction form
    1,068.94/1,604.90 = 549.38/x
  3. Step 3: Cross multiply
    1,068.94x = 1,604.90 × 549.38
  4. Step 4: Simplify right side
    1,068.94x = 881,705.35
  5. Step 5: Solve for x
    x = 881,705.35/1,068.94
  6. Step 6: Final answer
    x = 824.84

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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.