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Finding the Fourth Proportional to 984.59, 1,477.47 and 568.65

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Solution

The fourth proportional to 984.59, 1,477.47 and 568.65 is: 853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.59 : 1,477.47 = 568.65 : x
  2. Step 2: Convert to fraction form
    984.59/1,477.47 = 568.65/x
  3. Step 3: Cross multiply
    984.59x = 1,477.47 × 568.65
  4. Step 4: Simplify right side
    984.59x = 840,163.32
  5. Step 5: Solve for x
    x = 840,163.32/984.59
  6. Step 6: Final answer
    x = 853.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.