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Finding the Fourth Proportional to 589.27, 882.36 and 434.98

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Solution

The fourth proportional to 589.27, 882.36 and 434.98 is: 651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.27 : 882.36 = 434.98 : x
  2. Step 2: Convert to fraction form
    589.27/882.36 = 434.98/x
  3. Step 3: Cross multiply
    589.27x = 882.36 × 434.98
  4. Step 4: Simplify right side
    589.27x = 383,808.95
  5. Step 5: Solve for x
    x = 383,808.95/589.27
  6. Step 6: Final answer
    x = 651.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.