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Finding the Fourth Proportional to 1,710.62, 2,565.17 and 786.48

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Solution

The fourth proportional to 1,710.62, 2,565.17 and 786.48 is: 1,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.62 : 2,565.17 = 786.48 : x
  2. Step 2: Convert to fraction form
    1,710.62/2,565.17 = 786.48/x
  3. Step 3: Cross multiply
    1,710.62x = 2,565.17 × 786.48
  4. Step 4: Simplify right side
    1,710.62x = 2,017,444.30
  5. Step 5: Solve for x
    x = 2,017,444.30/1,710.62
  6. Step 6: Final answer
    x = 1,179.37

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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.