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Finding the Fourth Proportional to 668.51, 923.14 and 420.25

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Solution

The fourth proportional to 668.51, 923.14 and 420.25 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.51 : 923.14 = 420.25 : x
  2. Step 2: Convert to fraction form
    668.51/923.14 = 420.25/x
  3. Step 3: Cross multiply
    668.51x = 923.14 × 420.25
  4. Step 4: Simplify right side
    668.51x = 387,946.23
  5. Step 5: Solve for x
    x = 387,946.23/668.51
  6. Step 6: Final answer
    x = 580.31

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1.5x scale

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.