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Finding the Fourth Proportional to 666.77, 920.57 and 469.94

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Solution

The fourth proportional to 666.77, 920.57 and 469.94 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 920.57 = 469.94 : x
  2. Step 2: Convert to fraction form
    666.77/920.57 = 469.94/x
  3. Step 3: Cross multiply
    666.77x = 920.57 × 469.94
  4. Step 4: Simplify right side
    666.77x = 432,605.71
  5. Step 5: Solve for x
    x = 432,605.71/666.77
  6. Step 6: Final answer
    x = 648.81

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Find fourth proportional to 333.38, 460.28 and 234.97
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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.