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Finding the Fourth Proportional to 476.73, 715.47 and 461.54

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Solution

The fourth proportional to 476.73, 715.47 and 461.54 is: 692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 715.47 = 461.54 : x
  2. Step 2: Convert to fraction form
    476.73/715.47 = 461.54/x
  3. Step 3: Cross multiply
    476.73x = 715.47 × 461.54
  4. Step 4: Simplify right side
    476.73x = 330,218.02
  5. Step 5: Solve for x
    x = 330,218.02/476.73
  6. Step 6: Final answer
    x = 692.67

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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.