Home / 1,457.05-2,185.07-416.77

Finding the Fourth Proportional to 1,457.05, 2,185.07 and 416.77

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Solution

The fourth proportional to 1,457.05, 2,185.07 and 416.77 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.05 : 2,185.07 = 416.77 : x
  2. Step 2: Convert to fraction form
    1,457.05/2,185.07 = 416.77/x
  3. Step 3: Cross multiply
    1,457.05x = 2,185.07 × 416.77
  4. Step 4: Simplify right side
    1,457.05x = 910,681.56
  5. Step 5: Solve for x
    x = 910,681.56/1,457.05
  6. Step 6: Final answer
    x = 625.02

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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.