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Finding the Fourth Proportional to 428.58, 589.50 and 357.30

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Solution

The fourth proportional to 428.58, 589.50 and 357.30 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 589.50 = 357.30 : x
  2. Step 2: Convert to fraction form
    428.58/589.50 = 357.30/x
  3. Step 3: Cross multiply
    428.58x = 589.50 × 357.30
  4. Step 4: Simplify right side
    428.58x = 210,628.35
  5. Step 5: Solve for x
    x = 210,628.35/428.58
  6. Step 6: Final answer
    x = 491.46

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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.