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Finding the Fourth Proportional to 984.51, 1,358.69 and 564.86

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Solution

The fourth proportional to 984.51, 1,358.69 and 564.86 is: 779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.51 : 1,358.69 = 564.86 : x
  2. Step 2: Convert to fraction form
    984.51/1,358.69 = 564.86/x
  3. Step 3: Cross multiply
    984.51x = 1,358.69 × 564.86
  4. Step 4: Simplify right side
    984.51x = 767,460.02
  5. Step 5: Solve for x
    x = 767,460.02/984.51
  6. Step 6: Final answer
    x = 779.54

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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.