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Finding the Fourth Proportional to 1,709.88, 2,564.40 and 785.16

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Solution

The fourth proportional to 1,709.88, 2,564.40 and 785.16 is: 1,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.88 : 2,564.40 = 785.16 : x
  2. Step 2: Convert to fraction form
    1,709.88/2,564.40 = 785.16/x
  3. Step 3: Cross multiply
    1,709.88x = 2,564.40 × 785.16
  4. Step 4: Simplify right side
    1,709.88x = 2,013,464.30
  5. Step 5: Solve for x
    x = 2,013,464.30/1,709.88
  6. Step 6: Final answer
    x = 1,177.55

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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.