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Finding the Fourth Proportional to 1,712.71, 2,565.62 and 786.98

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Solution

The fourth proportional to 1,712.71, 2,565.62 and 786.98 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.71 : 2,565.62 = 786.98 : x
  2. Step 2: Convert to fraction form
    1,712.71/2,565.62 = 786.98/x
  3. Step 3: Cross multiply
    1,712.71x = 2,565.62 × 786.98
  4. Step 4: Simplify right side
    1,712.71x = 2,019,097.06
  5. Step 5: Solve for x
    x = 2,019,097.06/1,712.71
  6. Step 6: Final answer
    x = 1,178.89

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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.