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Finding the Fourth Proportional to 573.95, 855.23 and 546.06

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Solution

The fourth proportional to 573.95, 855.23 and 546.06 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 855.23 = 546.06 : x
  2. Step 2: Convert to fraction form
    573.95/855.23 = 546.06/x
  3. Step 3: Cross multiply
    573.95x = 855.23 × 546.06
  4. Step 4: Simplify right side
    573.95x = 467,006.21
  5. Step 5: Solve for x
    x = 467,006.21/573.95
  6. Step 6: Final answer
    x = 813.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.