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Finding the Fourth Proportional to 483.76, 661.66 and 476.20

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Solution

The fourth proportional to 483.76, 661.66 and 476.20 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 661.66 = 476.20 : x
  2. Step 2: Convert to fraction form
    483.76/661.66 = 476.20/x
  3. Step 3: Cross multiply
    483.76x = 661.66 × 476.20
  4. Step 4: Simplify right side
    483.76x = 315,082.49
  5. Step 5: Solve for x
    x = 315,082.49/483.76
  6. Step 6: Final answer
    x = 651.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.