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Finding the Fourth Proportional to 574.16, 853.85 and 555.93

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Solution

The fourth proportional to 574.16, 853.85 and 555.93 is: 826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 853.85 = 555.93 : x
  2. Step 2: Convert to fraction form
    574.16/853.85 = 555.93/x
  3. Step 3: Cross multiply
    574.16x = 853.85 × 555.93
  4. Step 4: Simplify right side
    574.16x = 474,682.22
  5. Step 5: Solve for x
    x = 474,682.22/574.16
  6. Step 6: Final answer
    x = 826.75

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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.