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Finding the Fourth Proportional to 433.70, 646.93 and 392.66

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Solution

The fourth proportional to 433.70, 646.93 and 392.66 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 646.93 = 392.66 : x
  2. Step 2: Convert to fraction form
    433.70/646.93 = 392.66/x
  3. Step 3: Cross multiply
    433.70x = 646.93 × 392.66
  4. Step 4: Simplify right side
    433.70x = 254,019.32
  5. Step 5: Solve for x
    x = 254,019.32/433.70
  6. Step 6: Final answer
    x = 585.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.