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Finding the Fourth Proportional to 433.44, 646.74 and 392.40

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Solution

The fourth proportional to 433.44, 646.74 and 392.40 is: 585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 646.74 = 392.40 : x
  2. Step 2: Convert to fraction form
    433.44/646.74 = 392.40/x
  3. Step 3: Cross multiply
    433.44x = 646.74 × 392.40
  4. Step 4: Simplify right side
    433.44x = 253,780.78
  5. Step 5: Solve for x
    x = 253,780.78/433.44
  6. Step 6: Final answer
    x = 585.50

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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.