Home / 1,457.07-2,184.30-532.41

Finding the Fourth Proportional to 1,457.07, 2,184.30 and 532.41

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Solution

The fourth proportional to 1,457.07, 2,184.30 and 532.41 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.07 : 2,184.30 = 532.41 : x
  2. Step 2: Convert to fraction form
    1,457.07/2,184.30 = 532.41/x
  3. Step 3: Cross multiply
    1,457.07x = 2,184.30 × 532.41
  4. Step 4: Simplify right side
    1,457.07x = 1,162,943.16
  5. Step 5: Solve for x
    x = 1,162,943.16/1,457.07
  6. Step 6: Final answer
    x = 798.14

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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.