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Finding the Fourth Proportional to 433.89, 647.66 and 376.52

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Solution

The fourth proportional to 433.89, 647.66 and 376.52 is: 562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.89 : 647.66 = 376.52 : x
  2. Step 2: Convert to fraction form
    433.89/647.66 = 376.52/x
  3. Step 3: Cross multiply
    433.89x = 647.66 × 376.52
  4. Step 4: Simplify right side
    433.89x = 243,854.65
  5. Step 5: Solve for x
    x = 243,854.65/433.89
  6. Step 6: Final answer
    x = 562.02

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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.