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Finding the Fourth Proportional to 718.47, 990.56 and 585.23

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Solution

The fourth proportional to 718.47, 990.56 and 585.23 is: 806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.47 : 990.56 = 585.23 : x
  2. Step 2: Convert to fraction form
    718.47/990.56 = 585.23/x
  3. Step 3: Cross multiply
    718.47x = 990.56 × 585.23
  4. Step 4: Simplify right side
    718.47x = 579,701.94
  5. Step 5: Solve for x
    x = 579,701.94/718.47
  6. Step 6: Final answer
    x = 806.86

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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.