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Finding the Fourth Proportional to 553.19, 829.24 and 471.11

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Solution

The fourth proportional to 553.19, 829.24 and 471.11 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.19 : 829.24 = 471.11 : x
  2. Step 2: Convert to fraction form
    553.19/829.24 = 471.11/x
  3. Step 3: Cross multiply
    553.19x = 829.24 × 471.11
  4. Step 4: Simplify right side
    553.19x = 390,657.93
  5. Step 5: Solve for x
    x = 390,657.93/553.19
  6. Step 6: Final answer
    x = 706.20

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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.