Home / 1,457.38-2,184.45-532.18

Finding the Fourth Proportional to 1,457.38, 2,184.45 and 532.18

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Solution

The fourth proportional to 1,457.38, 2,184.45 and 532.18 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.38 : 2,184.45 = 532.18 : x
  2. Step 2: Convert to fraction form
    1,457.38/2,184.45 = 532.18/x
  3. Step 3: Cross multiply
    1,457.38x = 2,184.45 × 532.18
  4. Step 4: Simplify right side
    1,457.38x = 1,162,520.60
  5. Step 5: Solve for x
    x = 1,162,520.60/1,457.38
  6. Step 6: Final answer
    x = 797.68

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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.