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Finding the Fourth Proportional to 575.77, 794.19 and 428.22

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Solution

The fourth proportional to 575.77, 794.19 and 428.22 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.77 : 794.19 = 428.22 : x
  2. Step 2: Convert to fraction form
    575.77/794.19 = 428.22/x
  3. Step 3: Cross multiply
    575.77x = 794.19 × 428.22
  4. Step 4: Simplify right side
    575.77x = 340,088.04
  5. Step 5: Solve for x
    x = 340,088.04/575.77
  6. Step 6: Final answer
    x = 590.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.