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Finding the Fourth Proportional to 522.67, 722.24 and 497.37

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Solution

The fourth proportional to 522.67, 722.24 and 497.37 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 722.24 = 497.37 : x
  2. Step 2: Convert to fraction form
    522.67/722.24 = 497.37/x
  3. Step 3: Cross multiply
    522.67x = 722.24 × 497.37
  4. Step 4: Simplify right side
    522.67x = 359,220.51
  5. Step 5: Solve for x
    x = 359,220.51/522.67
  6. Step 6: Final answer
    x = 687.28

Related Problems

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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.