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Finding the Fourth Proportional to 930.14, 1,393.70 and 491.37

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Solution

The fourth proportional to 930.14, 1,393.70 and 491.37 is: 736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.14 : 1,393.70 = 491.37 : x
  2. Step 2: Convert to fraction form
    930.14/1,393.70 = 491.37/x
  3. Step 3: Cross multiply
    930.14x = 1,393.70 × 491.37
  4. Step 4: Simplify right side
    930.14x = 684,822.37
  5. Step 5: Solve for x
    x = 684,822.37/930.14
  6. Step 6: Final answer
    x = 736.26

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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.