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Finding the Fourth Proportional to 1,346.45, 2,019.70 and 421.99

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Solution

The fourth proportional to 1,346.45, 2,019.70 and 421.99 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.45 : 2,019.70 = 421.99 : x
  2. Step 2: Convert to fraction form
    1,346.45/2,019.70 = 421.99/x
  3. Step 3: Cross multiply
    1,346.45x = 2,019.70 × 421.99
  4. Step 4: Simplify right side
    1,346.45x = 852,288.68
  5. Step 5: Solve for x
    x = 852,288.68/1,346.45
  6. Step 6: Final answer
    x = 632.99

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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.