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Finding the Fourth Proportional to 984.93, 1,358.79 and 586.51

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Solution

The fourth proportional to 984.93, 1,358.79 and 586.51 is: 809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.93 : 1,358.79 = 586.51 : x
  2. Step 2: Convert to fraction form
    984.93/1,358.79 = 586.51/x
  3. Step 3: Cross multiply
    984.93x = 1,358.79 × 586.51
  4. Step 4: Simplify right side
    984.93x = 796,943.92
  5. Step 5: Solve for x
    x = 796,943.92/984.93
  6. Step 6: Final answer
    x = 809.14

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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.