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Finding the Fourth Proportional to 984.09, 1,357.74 and 585.57

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Solution

The fourth proportional to 984.09, 1,357.74 and 585.57 is: 807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.09 : 1,357.74 = 585.57 : x
  2. Step 2: Convert to fraction form
    984.09/1,357.74 = 585.57/x
  3. Step 3: Cross multiply
    984.09x = 1,357.74 × 585.57
  4. Step 4: Simplify right side
    984.09x = 795,051.81
  5. Step 5: Solve for x
    x = 795,051.81/984.09
  6. Step 6: Final answer
    x = 807.91

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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.