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Finding the Fourth Proportional to 573, 858.06 and 312.20

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Solution

The fourth proportional to 573, 858.06 and 312.20 is: 467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573 : 858.06 = 312.20 : x
  2. Step 2: Convert to fraction form
    573/858.06 = 312.20/x
  3. Step 3: Cross multiply
    573x = 858.06 × 312.20
  4. Step 4: Simplify right side
    573x = 267,886.33
  5. Step 5: Solve for x
    x = 267,886.33/573
  6. Step 6: Final answer
    x = 467.52

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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.