Home / 1,151.16-1,726.75-285.47

Finding the Fourth Proportional to 1,151.16, 1,726.75 and 285.47

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Solution

The fourth proportional to 1,151.16, 1,726.75 and 285.47 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.16 : 1,726.75 = 285.47 : x
  2. Step 2: Convert to fraction form
    1,151.16/1,726.75 = 285.47/x
  3. Step 3: Cross multiply
    1,151.16x = 1,726.75 × 285.47
  4. Step 4: Simplify right side
    1,151.16x = 492,933.52
  5. Step 5: Solve for x
    x = 492,933.52/1,151.16
  6. Step 6: Final answer
    x = 428.21

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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.