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Finding the Fourth Proportional to 710.73, 979.56 and 585.99

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Solution

The fourth proportional to 710.73, 979.56 and 585.99 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 979.56 = 585.99 : x
  2. Step 2: Convert to fraction form
    710.73/979.56 = 585.99/x
  3. Step 3: Cross multiply
    710.73x = 979.56 × 585.99
  4. Step 4: Simplify right side
    710.73x = 574,012.36
  5. Step 5: Solve for x
    x = 574,012.36/710.73
  6. Step 6: Final answer
    x = 807.64

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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.