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Finding the Fourth Proportional to 476.76, 653.47 and 474.69

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Solution

The fourth proportional to 476.76, 653.47 and 474.69 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 653.47 = 474.69 : x
  2. Step 2: Convert to fraction form
    476.76/653.47 = 474.69/x
  3. Step 3: Cross multiply
    476.76x = 653.47 × 474.69
  4. Step 4: Simplify right side
    476.76x = 310,195.67
  5. Step 5: Solve for x
    x = 310,195.67/476.76
  6. Step 6: Final answer
    x = 650.63

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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.