Home / 1,341.20-2,011.74-463.80

Finding the Fourth Proportional to 1,341.20, 2,011.74 and 463.80

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Solution

The fourth proportional to 1,341.20, 2,011.74 and 463.80 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.20 : 2,011.74 = 463.80 : x
  2. Step 2: Convert to fraction form
    1,341.20/2,011.74 = 463.80/x
  3. Step 3: Cross multiply
    1,341.20x = 2,011.74 × 463.80
  4. Step 4: Simplify right side
    1,341.20x = 933,045.01
  5. Step 5: Solve for x
    x = 933,045.01/1,341.20
  6. Step 6: Final answer
    x = 695.68

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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.