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Finding the Fourth Proportional to 1,705.57, 2,558.58 and 610.06

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Solution

The fourth proportional to 1,705.57, 2,558.58 and 610.06 is: 915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.57 : 2,558.58 = 610.06 : x
  2. Step 2: Convert to fraction form
    1,705.57/2,558.58 = 610.06/x
  3. Step 3: Cross multiply
    1,705.57x = 2,558.58 × 610.06
  4. Step 4: Simplify right side
    1,705.57x = 1,560,887.31
  5. Step 5: Solve for x
    x = 1,560,887.31/1,705.57
  6. Step 6: Final answer
    x = 915.17

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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.