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Finding the Fourth Proportional to 1,341.80, 2,012.90 and 417.44

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Solution

The fourth proportional to 1,341.80, 2,012.90 and 417.44 is: 626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.80 : 2,012.90 = 417.44 : x
  2. Step 2: Convert to fraction form
    1,341.80/2,012.90 = 417.44/x
  3. Step 3: Cross multiply
    1,341.80x = 2,012.90 × 417.44
  4. Step 4: Simplify right side
    1,341.80x = 840,264.98
  5. Step 5: Solve for x
    x = 840,264.98/1,341.80
  6. Step 6: Final answer
    x = 626.22

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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.