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Finding the Fourth Proportional to 434.67, 595.50 and 418.26

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Solution

The fourth proportional to 434.67, 595.50 and 418.26 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 595.50 = 418.26 : x
  2. Step 2: Convert to fraction form
    434.67/595.50 = 418.26/x
  3. Step 3: Cross multiply
    434.67x = 595.50 × 418.26
  4. Step 4: Simplify right side
    434.67x = 249,076.85
  5. Step 5: Solve for x
    x = 249,076.85/434.67
  6. Step 6: Final answer
    x = 573.03

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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.