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Finding the Fourth Proportional to 1,020.98, 1,409.38 and 772.38

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Solution

The fourth proportional to 1,020.98, 1,409.38 and 772.38 is: 1,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.98 : 1,409.38 = 772.38 : x
  2. Step 2: Convert to fraction form
    1,020.98/1,409.38 = 772.38/x
  3. Step 3: Cross multiply
    1,020.98x = 1,409.38 × 772.38
  4. Step 4: Simplify right side
    1,020.98x = 1,088,574.99
  5. Step 5: Solve for x
    x = 1,088,574.99/1,020.98
  6. Step 6: Final answer
    x = 1,066.20

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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.