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Finding the Fourth Proportional to 430.56, 589.86 and 414.12

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Solution

The fourth proportional to 430.56, 589.86 and 414.12 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 589.86 = 414.12 : x
  2. Step 2: Convert to fraction form
    430.56/589.86 = 414.12/x
  3. Step 3: Cross multiply
    430.56x = 589.86 × 414.12
  4. Step 4: Simplify right side
    430.56x = 244,272.82
  5. Step 5: Solve for x
    x = 244,272.82/430.56
  6. Step 6: Final answer
    x = 567.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.