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Finding the Fourth Proportional to 668.76, 923.13 and 406.77

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Solution

The fourth proportional to 668.76, 923.13 and 406.77 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.76 : 923.13 = 406.77 : x
  2. Step 2: Convert to fraction form
    668.76/923.13 = 406.77/x
  3. Step 3: Cross multiply
    668.76x = 923.13 × 406.77
  4. Step 4: Simplify right side
    668.76x = 375,501.59
  5. Step 5: Solve for x
    x = 375,501.59/668.76
  6. Step 6: Final answer
    x = 561.49

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Find fourth proportional to 334.38, 461.57 and 203.39
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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.