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Finding the Fourth Proportional to 573.08, 858.02 and 457.72

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Solution

The fourth proportional to 573.08, 858.02 and 457.72 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.08 : 858.02 = 457.72 : x
  2. Step 2: Convert to fraction form
    573.08/858.02 = 457.72/x
  3. Step 3: Cross multiply
    573.08x = 858.02 × 457.72
  4. Step 4: Simplify right side
    573.08x = 392,732.91
  5. Step 5: Solve for x
    x = 392,732.91/573.08
  6. Step 6: Final answer
    x = 685.30

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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.