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Finding the Fourth Proportional to 1,022.99, 1,411.29 and 690.84

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Solution

The fourth proportional to 1,022.99, 1,411.29 and 690.84 is: 953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.99 : 1,411.29 = 690.84 : x
  2. Step 2: Convert to fraction form
    1,022.99/1,411.29 = 690.84/x
  3. Step 3: Cross multiply
    1,022.99x = 1,411.29 × 690.84
  4. Step 4: Simplify right side
    1,022.99x = 974,975.58
  5. Step 5: Solve for x
    x = 974,975.58/1,022.99
  6. Step 6: Final answer
    x = 953.07

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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.