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Finding the Fourth Proportional to 575.80, 857.59 and 573.01

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Solution

The fourth proportional to 575.80, 857.59 and 573.01 is: 853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 857.59 = 573.01 : x
  2. Step 2: Convert to fraction form
    575.80/857.59 = 573.01/x
  3. Step 3: Cross multiply
    575.80x = 857.59 × 573.01
  4. Step 4: Simplify right side
    575.80x = 491,409.08
  5. Step 5: Solve for x
    x = 491,409.08/575.80
  6. Step 6: Final answer
    x = 853.44

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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.