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Finding the Fourth Proportional to 1,068.03, 1,602.63 and 984.15

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Solution

The fourth proportional to 1,068.03, 1,602.63 and 984.15 is: 1,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.03 : 1,602.63 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,068.03/1,602.63 = 984.15/x
  3. Step 3: Cross multiply
    1,068.03x = 1,602.63 × 984.15
  4. Step 4: Simplify right side
    1,068.03x = 1,577,228.31
  5. Step 5: Solve for x
    x = 1,577,228.31/1,068.03
  6. Step 6: Final answer
    x = 1,476.76

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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.