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Finding the Fourth Proportional to 484.71, 723.54 and 416.67

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Solution

The fourth proportional to 484.71, 723.54 and 416.67 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 723.54 = 416.67 : x
  2. Step 2: Convert to fraction form
    484.71/723.54 = 416.67/x
  3. Step 3: Cross multiply
    484.71x = 723.54 × 416.67
  4. Step 4: Simplify right side
    484.71x = 301,477.41
  5. Step 5: Solve for x
    x = 301,477.41/484.71
  6. Step 6: Final answer
    x = 621.97

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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.