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Finding the Fourth Proportional to 1,166.39, 1,750.31 and 436.47

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Solution

The fourth proportional to 1,166.39, 1,750.31 and 436.47 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.39 : 1,750.31 = 436.47 : x
  2. Step 2: Convert to fraction form
    1,166.39/1,750.31 = 436.47/x
  3. Step 3: Cross multiply
    1,166.39x = 1,750.31 × 436.47
  4. Step 4: Simplify right side
    1,166.39x = 763,955.62
  5. Step 5: Solve for x
    x = 763,955.62/1,166.39
  6. Step 6: Final answer
    x = 654.98

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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.