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Finding the Fourth Proportional to 1,069.48, 1,604.20 and 339.10

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Solution

The fourth proportional to 1,069.48, 1,604.20 and 339.10 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.48 : 1,604.20 = 339.10 : x
  2. Step 2: Convert to fraction form
    1,069.48/1,604.20 = 339.10/x
  3. Step 3: Cross multiply
    1,069.48x = 1,604.20 × 339.10
  4. Step 4: Simplify right side
    1,069.48x = 543,984.22
  5. Step 5: Solve for x
    x = 543,984.22/1,069.48
  6. Step 6: Final answer
    x = 508.64

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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.