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Finding the Fourth Proportional to 573.41, 858.75 and 313.03

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Solution

The fourth proportional to 573.41, 858.75 and 313.03 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.41 : 858.75 = 313.03 : x
  2. Step 2: Convert to fraction form
    573.41/858.75 = 313.03/x
  3. Step 3: Cross multiply
    573.41x = 858.75 × 313.03
  4. Step 4: Simplify right side
    573.41x = 268,811.93
  5. Step 5: Solve for x
    x = 268,811.93/573.41
  6. Step 6: Final answer
    x = 468.79

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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.