Home / 1,490.36-2,234.09-710.15

Finding the Fourth Proportional to 1,490.36, 2,234.09 and 710.15

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Solution

The fourth proportional to 1,490.36, 2,234.09 and 710.15 is: 1,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.36 : 2,234.09 = 710.15 : x
  2. Step 2: Convert to fraction form
    1,490.36/2,234.09 = 710.15/x
  3. Step 3: Cross multiply
    1,490.36x = 2,234.09 × 710.15
  4. Step 4: Simplify right side
    1,490.36x = 1,586,539.01
  5. Step 5: Solve for x
    x = 1,586,539.01/1,490.36
  6. Step 6: Final answer
    x = 1,064.53

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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.