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Finding the Fourth Proportional to 1,740.23, 2,610.06 and 570.23

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Solution

The fourth proportional to 1,740.23, 2,610.06 and 570.23 is: 855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.23 : 2,610.06 = 570.23 : x
  2. Step 2: Convert to fraction form
    1,740.23/2,610.06 = 570.23/x
  3. Step 3: Cross multiply
    1,740.23x = 2,610.06 × 570.23
  4. Step 4: Simplify right side
    1,740.23x = 1,488,321.46
  5. Step 5: Solve for x
    x = 1,488,321.46/1,740.23
  6. Step 6: Final answer
    x = 855.25

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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.