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Finding the Fourth Proportional to 553.07, 829.32 and 347.78

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Solution

The fourth proportional to 553.07, 829.32 and 347.78 is: 521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.07 : 829.32 = 347.78 : x
  2. Step 2: Convert to fraction form
    553.07/829.32 = 347.78/x
  3. Step 3: Cross multiply
    553.07x = 829.32 × 347.78
  4. Step 4: Simplify right side
    553.07x = 288,420.91
  5. Step 5: Solve for x
    x = 288,420.91/553.07
  6. Step 6: Final answer
    x = 521.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.