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Finding the Fourth Proportional to 1,707.09, 2,560.05 and 611.16

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Solution

The fourth proportional to 1,707.09, 2,560.05 and 611.16 is: 916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.09 : 2,560.05 = 611.16 : x
  2. Step 2: Convert to fraction form
    1,707.09/2,560.05 = 611.16/x
  3. Step 3: Cross multiply
    1,707.09x = 2,560.05 × 611.16
  4. Step 4: Simplify right side
    1,707.09x = 1,564,600.16
  5. Step 5: Solve for x
    x = 1,564,600.16/1,707.09
  6. Step 6: Final answer
    x = 916.53

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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.