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Finding the Fourth Proportional to 923.01, 1,272.93 and 608.16

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Solution

The fourth proportional to 923.01, 1,272.93 and 608.16 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,272.93 = 608.16 : x
  2. Step 2: Convert to fraction form
    923.01/1,272.93 = 608.16/x
  3. Step 3: Cross multiply
    923.01x = 1,272.93 × 608.16
  4. Step 4: Simplify right side
    923.01x = 774,142.07
  5. Step 5: Solve for x
    x = 774,142.07/923.01
  6. Step 6: Final answer
    x = 838.71

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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.