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Finding the Fourth Proportional to 1,022.68, 1,411.50 and 712

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Solution

The fourth proportional to 1,022.68, 1,411.50 and 712 is: 982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.68 : 1,411.50 = 712 : x
  2. Step 2: Convert to fraction form
    1,022.68/1,411.50 = 712/x
  3. Step 3: Cross multiply
    1,022.68x = 1,411.50 × 712
  4. Step 4: Simplify right side
    1,022.68x = 1,004,988
  5. Step 5: Solve for x
    x = 1,004,988/1,022.68
  6. Step 6: Final answer
    x = 982.70

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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.