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Finding the Fourth Proportional to 476.90, 711.72 and 464.60

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Solution

The fourth proportional to 476.90, 711.72 and 464.60 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.90 : 711.72 = 464.60 : x
  2. Step 2: Convert to fraction form
    476.90/711.72 = 464.60/x
  3. Step 3: Cross multiply
    476.90x = 711.72 × 464.60
  4. Step 4: Simplify right side
    476.90x = 330,661.55
  5. Step 5: Solve for x
    x = 330,661.55/476.90
  6. Step 6: Final answer
    x = 693.36

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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.