Home / 1,537.30-2,305.94-497.45

Finding the Fourth Proportional to 1,537.30, 2,305.94 and 497.45

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Solution

The fourth proportional to 1,537.30, 2,305.94 and 497.45 is: 746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.30 : 2,305.94 = 497.45 : x
  2. Step 2: Convert to fraction form
    1,537.30/2,305.94 = 497.45/x
  3. Step 3: Cross multiply
    1,537.30x = 2,305.94 × 497.45
  4. Step 4: Simplify right side
    1,537.30x = 1,147,087.37
  5. Step 5: Solve for x
    x = 1,147,087.37/1,537.30
  6. Step 6: Final answer
    x = 746.17

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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.