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Finding the Fourth Proportional to 1,219.84, 1,829.70 and 342.35

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Solution

The fourth proportional to 1,219.84, 1,829.70 and 342.35 is: 513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.84 : 1,829.70 = 342.35 : x
  2. Step 2: Convert to fraction form
    1,219.84/1,829.70 = 342.35/x
  3. Step 3: Cross multiply
    1,219.84x = 1,829.70 × 342.35
  4. Step 4: Simplify right side
    1,219.84x = 626,397.80
  5. Step 5: Solve for x
    x = 626,397.80/1,219.84
  6. Step 6: Final answer
    x = 513.51

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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.