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Finding the Fourth Proportional to 577.45, 797.21 and 400.67

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Solution

The fourth proportional to 577.45, 797.21 and 400.67 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.45 : 797.21 = 400.67 : x
  2. Step 2: Convert to fraction form
    577.45/797.21 = 400.67/x
  3. Step 3: Cross multiply
    577.45x = 797.21 × 400.67
  4. Step 4: Simplify right side
    577.45x = 319,418.13
  5. Step 5: Solve for x
    x = 319,418.13/577.45
  6. Step 6: Final answer
    x = 553.15

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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.