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Finding the Fourth Proportional to 434.85, 594.77 and 428.37

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Solution

The fourth proportional to 434.85, 594.77 and 428.37 is: 585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 594.77 = 428.37 : x
  2. Step 2: Convert to fraction form
    434.85/594.77 = 428.37/x
  3. Step 3: Cross multiply
    434.85x = 594.77 × 428.37
  4. Step 4: Simplify right side
    434.85x = 254,779.48
  5. Step 5: Solve for x
    x = 254,779.48/434.85
  6. Step 6: Final answer
    x = 585.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.