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Finding the Fourth Proportional to 427.65, 589.71 and 315.10

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Solution

The fourth proportional to 427.65, 589.71 and 315.10 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.65 : 589.71 = 315.10 : x
  2. Step 2: Convert to fraction form
    427.65/589.71 = 315.10/x
  3. Step 3: Cross multiply
    427.65x = 589.71 × 315.10
  4. Step 4: Simplify right side
    427.65x = 185,817.62
  5. Step 5: Solve for x
    x = 185,817.62/427.65
  6. Step 6: Final answer
    x = 434.51

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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.