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Finding the Fourth Proportional to 722.93, 998.10 and 474.69

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Solution

The fourth proportional to 722.93, 998.10 and 474.69 is: 655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.93 : 998.10 = 474.69 : x
  2. Step 2: Convert to fraction form
    722.93/998.10 = 474.69/x
  3. Step 3: Cross multiply
    722.93x = 998.10 × 474.69
  4. Step 4: Simplify right side
    722.93x = 473,782.08
  5. Step 5: Solve for x
    x = 473,782.08/722.93
  6. Step 6: Final answer
    x = 655.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.