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Finding the Fourth Proportional to 939.69, 1,408.32 and 569.52

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Solution

The fourth proportional to 939.69, 1,408.32 and 569.52 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.69 : 1,408.32 = 569.52 : x
  2. Step 2: Convert to fraction form
    939.69/1,408.32 = 569.52/x
  3. Step 3: Cross multiply
    939.69x = 1,408.32 × 569.52
  4. Step 4: Simplify right side
    939.69x = 802,066.41
  5. Step 5: Solve for x
    x = 802,066.41/939.69
  6. Step 6: Final answer
    x = 853.54

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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.