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Finding the Fourth Proportional to 572.80, 858.19 and 553.77

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Solution

The fourth proportional to 572.80, 858.19 and 553.77 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 858.19 = 553.77 : x
  2. Step 2: Convert to fraction form
    572.80/858.19 = 553.77/x
  3. Step 3: Cross multiply
    572.80x = 858.19 × 553.77
  4. Step 4: Simplify right side
    572.80x = 475,232.82
  5. Step 5: Solve for x
    x = 475,232.82/572.80
  6. Step 6: Final answer
    x = 829.67

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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.