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Finding the Fourth Proportional to 469.74, 646.71 and 446.66

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Solution

The fourth proportional to 469.74, 646.71 and 446.66 is: 614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 646.71 = 446.66 : x
  2. Step 2: Convert to fraction form
    469.74/646.71 = 446.66/x
  3. Step 3: Cross multiply
    469.74x = 646.71 × 446.66
  4. Step 4: Simplify right side
    469.74x = 288,859.49
  5. Step 5: Solve for x
    x = 288,859.49/469.74
  6. Step 6: Final answer
    x = 614.93

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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.