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Finding the Fourth Proportional to 476.42, 717.57 and 442.62

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Solution

The fourth proportional to 476.42, 717.57 and 442.62 is: 666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 717.57 = 442.62 : x
  2. Step 2: Convert to fraction form
    476.42/717.57 = 442.62/x
  3. Step 3: Cross multiply
    476.42x = 717.57 × 442.62
  4. Step 4: Simplify right side
    476.42x = 317,610.83
  5. Step 5: Solve for x
    x = 317,610.83/476.42
  6. Step 6: Final answer
    x = 666.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.