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Finding the Fourth Proportional to 522.72, 722.32 and 390.49

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Solution

The fourth proportional to 522.72, 722.32 and 390.49 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 722.32 = 390.49 : x
  2. Step 2: Convert to fraction form
    522.72/722.32 = 390.49/x
  3. Step 3: Cross multiply
    522.72x = 722.32 × 390.49
  4. Step 4: Simplify right side
    522.72x = 282,055.95
  5. Step 5: Solve for x
    x = 282,055.95/522.72
  6. Step 6: Final answer
    x = 539.59

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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.