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Finding the Fourth Proportional to 473.79, 709.74 and 376.46

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Solution

The fourth proportional to 473.79, 709.74 and 376.46 is: 563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.79 : 709.74 = 376.46 : x
  2. Step 2: Convert to fraction form
    473.79/709.74 = 376.46/x
  3. Step 3: Cross multiply
    473.79x = 709.74 × 376.46
  4. Step 4: Simplify right side
    473.79x = 267,185.17
  5. Step 5: Solve for x
    x = 267,185.17/473.79
  6. Step 6: Final answer
    x = 563.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.