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Finding the Fourth Proportional to 1,707.05, 2,559.65 and 610.80

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Solution

The fourth proportional to 1,707.05, 2,559.65 and 610.80 is: 915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.05 : 2,559.65 = 610.80 : x
  2. Step 2: Convert to fraction form
    1,707.05/2,559.65 = 610.80/x
  3. Step 3: Cross multiply
    1,707.05x = 2,559.65 × 610.80
  4. Step 4: Simplify right side
    1,707.05x = 1,563,431.17
  5. Step 5: Solve for x
    x = 1,563,431.17/1,707.05
  6. Step 6: Final answer
    x = 915.87

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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.