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Finding the Fourth Proportional to 923.36, 1,273.63 and 591.26

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Solution

The fourth proportional to 923.36, 1,273.63 and 591.26 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.36 : 1,273.63 = 591.26 : x
  2. Step 2: Convert to fraction form
    923.36/1,273.63 = 591.26/x
  3. Step 3: Cross multiply
    923.36x = 1,273.63 × 591.26
  4. Step 4: Simplify right side
    923.36x = 753,041.81
  5. Step 5: Solve for x
    x = 753,041.81/923.36
  6. Step 6: Final answer
    x = 815.55

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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.