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Finding the Fourth Proportional to 707.27, 1,056 and 663.53

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Solution

The fourth proportional to 707.27, 1,056 and 663.53 is: 990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.27 : 1,056 = 663.53 : x
  2. Step 2: Convert to fraction form
    707.27/1,056 = 663.53/x
  3. Step 3: Cross multiply
    707.27x = 1,056 × 663.53
  4. Step 4: Simplify right side
    707.27x = 700,687.68
  5. Step 5: Solve for x
    x = 700,687.68/707.27
  6. Step 6: Final answer
    x = 990.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.