Home / 1,552.80-2,329.56-457.14

Finding the Fourth Proportional to 1,552.80, 2,329.56 and 457.14

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Solution

The fourth proportional to 1,552.80, 2,329.56 and 457.14 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.80 : 2,329.56 = 457.14 : x
  2. Step 2: Convert to fraction form
    1,552.80/2,329.56 = 457.14/x
  3. Step 3: Cross multiply
    1,552.80x = 2,329.56 × 457.14
  4. Step 4: Simplify right side
    1,552.80x = 1,064,935.06
  5. Step 5: Solve for x
    x = 1,064,935.06/1,552.80
  6. Step 6: Final answer
    x = 685.82

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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.