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Finding the Fourth Proportional to 1,494.06, 2,061.87 and 830.87

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Solution

The fourth proportional to 1,494.06, 2,061.87 and 830.87 is: 1,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.06 : 2,061.87 = 830.87 : x
  2. Step 2: Convert to fraction form
    1,494.06/2,061.87 = 830.87/x
  3. Step 3: Cross multiply
    1,494.06x = 2,061.87 × 830.87
  4. Step 4: Simplify right side
    1,494.06x = 1,713,156.51
  5. Step 5: Solve for x
    x = 1,713,156.51/1,494.06
  6. Step 6: Final answer
    x = 1,146.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.