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Finding the Fourth Proportional to 589.67, 811.89 and 535.00

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Solution

The fourth proportional to 589.67, 811.89 and 535.00 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.67 : 811.89 = 535.00 : x
  2. Step 2: Convert to fraction form
    589.67/811.89 = 535.00/x
  3. Step 3: Cross multiply
    589.67x = 811.89 × 535.00
  4. Step 4: Simplify right side
    589.67x = 434,354.42
  5. Step 5: Solve for x
    x = 434,354.42/589.67
  6. Step 6: Final answer
    x = 736.61

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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.