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Finding the Fourth Proportional to 573.14, 858.89 and 457.07

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Solution

The fourth proportional to 573.14, 858.89 and 457.07 is: 684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 858.89 = 457.07 : x
  2. Step 2: Convert to fraction form
    573.14/858.89 = 457.07/x
  3. Step 3: Cross multiply
    573.14x = 858.89 × 457.07
  4. Step 4: Simplify right side
    573.14x = 392,566.27
  5. Step 5: Solve for x
    x = 392,566.27/573.14
  6. Step 6: Final answer
    x = 684.95

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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.