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Finding the Fourth Proportional to 1,068.64, 1,602.28 and 548.84

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Solution

The fourth proportional to 1,068.64, 1,602.28 and 548.84 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.64 : 1,602.28 = 548.84 : x
  2. Step 2: Convert to fraction form
    1,068.64/1,602.28 = 548.84/x
  3. Step 3: Cross multiply
    1,068.64x = 1,602.28 × 548.84
  4. Step 4: Simplify right side
    1,068.64x = 879,395.36
  5. Step 5: Solve for x
    x = 879,395.36/1,068.64
  6. Step 6: Final answer
    x = 822.91

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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.