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Finding the Fourth Proportional to 589.31, 883.13 and 434.01

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Solution

The fourth proportional to 589.31, 883.13 and 434.01 is: 650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.31 : 883.13 = 434.01 : x
  2. Step 2: Convert to fraction form
    589.31/883.13 = 434.01/x
  3. Step 3: Cross multiply
    589.31x = 883.13 × 434.01
  4. Step 4: Simplify right side
    589.31x = 383,288.39
  5. Step 5: Solve for x
    x = 383,288.39/589.31
  6. Step 6: Final answer
    x = 650.40

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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.