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Finding the Fourth Proportional to 1,346.03, 2,019.57 and 652.65

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Solution

The fourth proportional to 1,346.03, 2,019.57 and 652.65 is: 979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.03 : 2,019.57 = 652.65 : x
  2. Step 2: Convert to fraction form
    1,346.03/2,019.57 = 652.65/x
  3. Step 3: Cross multiply
    1,346.03x = 2,019.57 × 652.65
  4. Step 4: Simplify right side
    1,346.03x = 1,318,072.36
  5. Step 5: Solve for x
    x = 1,318,072.36/1,346.03
  6. Step 6: Final answer
    x = 979.23

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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.