Home / 1,457.27-2,185.98-417.43

Finding the Fourth Proportional to 1,457.27, 2,185.98 and 417.43

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Solution

The fourth proportional to 1,457.27, 2,185.98 and 417.43 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.27 : 2,185.98 = 417.43 : x
  2. Step 2: Convert to fraction form
    1,457.27/2,185.98 = 417.43/x
  3. Step 3: Cross multiply
    1,457.27x = 2,185.98 × 417.43
  4. Step 4: Simplify right side
    1,457.27x = 912,490.04
  5. Step 5: Solve for x
    x = 912,490.04/1,457.27
  6. Step 6: Final answer
    x = 626.16

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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.