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Finding the Fourth Proportional to 1,069.60, 1,604.40 and 1,053.40

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Solution

The fourth proportional to 1,069.60, 1,604.40 and 1,053.40 is: 1,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,604.40 = 1,053.40 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,604.40 = 1,053.40/x
  3. Step 3: Cross multiply
    1,069.60x = 1,604.40 × 1,053.40
  4. Step 4: Simplify right side
    1,069.60x = 1,690,074.96
  5. Step 5: Solve for x
    x = 1,690,074.96/1,069.60
  6. Step 6: Final answer
    x = 1,580.10

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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.