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Finding the Fourth Proportional to 1,026.93, 1,416.94 and 711.71

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Solution

The fourth proportional to 1,026.93, 1,416.94 and 711.71 is: 982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.93 : 1,416.94 = 711.71 : x
  2. Step 2: Convert to fraction form
    1,026.93/1,416.94 = 711.71/x
  3. Step 3: Cross multiply
    1,026.93x = 1,416.94 × 711.71
  4. Step 4: Simplify right side
    1,026.93x = 1,008,450.37
  5. Step 5: Solve for x
    x = 1,008,450.37/1,026.93
  6. Step 6: Final answer
    x = 982.00

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Why These Related Problems?

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