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Finding the Fourth Proportional to 589.41, 811.76 and 506.52

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Solution

The fourth proportional to 589.41, 811.76 and 506.52 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.41 : 811.76 = 506.52 : x
  2. Step 2: Convert to fraction form
    589.41/811.76 = 506.52/x
  3. Step 3: Cross multiply
    589.41x = 811.76 × 506.52
  4. Step 4: Simplify right side
    589.41x = 411,170.14
  5. Step 5: Solve for x
    x = 411,170.14/589.41
  6. Step 6: Final answer
    x = 697.60

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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.