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Finding the Fourth Proportional to 589.70, 811.68 and 414.74

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Solution

The fourth proportional to 589.70, 811.68 and 414.74 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 811.68 = 414.74 : x
  2. Step 2: Convert to fraction form
    589.70/811.68 = 414.74/x
  3. Step 3: Cross multiply
    589.70x = 811.68 × 414.74
  4. Step 4: Simplify right side
    589.70x = 336,636.16
  5. Step 5: Solve for x
    x = 336,636.16/589.70
  6. Step 6: Final answer
    x = 570.86

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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.