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Finding the Fourth Proportional to 786.41, 1,085.29 and 437.09

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Solution

The fourth proportional to 786.41, 1,085.29 and 437.09 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.41 : 1,085.29 = 437.09 : x
  2. Step 2: Convert to fraction form
    786.41/1,085.29 = 437.09/x
  3. Step 3: Cross multiply
    786.41x = 1,085.29 × 437.09
  4. Step 4: Simplify right side
    786.41x = 474,369.41
  5. Step 5: Solve for x
    x = 474,369.41/786.41
  6. Step 6: Final answer
    x = 603.21

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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.