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Finding the Fourth Proportional to 1,120.45, 1,680.90 and 340.49

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Solution

The fourth proportional to 1,120.45, 1,680.90 and 340.49 is: 510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.45 : 1,680.90 = 340.49 : x
  2. Step 2: Convert to fraction form
    1,120.45/1,680.90 = 340.49/x
  3. Step 3: Cross multiply
    1,120.45x = 1,680.90 × 340.49
  4. Step 4: Simplify right side
    1,120.45x = 572,329.64
  5. Step 5: Solve for x
    x = 572,329.64/1,120.45
  6. Step 6: Final answer
    x = 510.80

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1.5x scale

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.