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Finding the Fourth Proportional to 668.74, 923.27 and 432.76

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Solution

The fourth proportional to 668.74, 923.27 and 432.76 is: 597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.74 : 923.27 = 432.76 : x
  2. Step 2: Convert to fraction form
    668.74/923.27 = 432.76/x
  3. Step 3: Cross multiply
    668.74x = 923.27 × 432.76
  4. Step 4: Simplify right side
    668.74x = 399,554.33
  5. Step 5: Solve for x
    x = 399,554.33/668.74
  6. Step 6: Final answer
    x = 597.47

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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.