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Finding the Fourth Proportional to 1,070.82, 1,604.61 and 989.82

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Solution

The fourth proportional to 1,070.82, 1,604.61 and 989.82 is: 1,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.82 : 1,604.61 = 989.82 : x
  2. Step 2: Convert to fraction form
    1,070.82/1,604.61 = 989.82/x
  3. Step 3: Cross multiply
    1,070.82x = 1,604.61 × 989.82
  4. Step 4: Simplify right side
    1,070.82x = 1,588,275.07
  5. Step 5: Solve for x
    x = 1,588,275.07/1,070.82
  6. Step 6: Final answer
    x = 1,483.23

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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.