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Finding the Fourth Proportional to 986.39, 1,473.18 and 893.65

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Solution

The fourth proportional to 986.39, 1,473.18 and 893.65 is: 1,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.39 : 1,473.18 = 893.65 : x
  2. Step 2: Convert to fraction form
    986.39/1,473.18 = 893.65/x
  3. Step 3: Cross multiply
    986.39x = 1,473.18 × 893.65
  4. Step 4: Simplify right side
    986.39x = 1,316,512.50
  5. Step 5: Solve for x
    x = 1,316,512.50/986.39
  6. Step 6: Final answer
    x = 1,334.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.