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Finding the Fourth Proportional to 573.07, 854.13 and 556.37

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Solution

The fourth proportional to 573.07, 854.13 and 556.37 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.07 : 854.13 = 556.37 : x
  2. Step 2: Convert to fraction form
    573.07/854.13 = 556.37/x
  3. Step 3: Cross multiply
    573.07x = 854.13 × 556.37
  4. Step 4: Simplify right side
    573.07x = 475,208.04
  5. Step 5: Solve for x
    x = 475,208.04/573.07
  6. Step 6: Final answer
    x = 829.23

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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.