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Finding the Fourth Proportional to 458.69, 688.23 and 285.30

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Solution

The fourth proportional to 458.69, 688.23 and 285.30 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 688.23 = 285.30 : x
  2. Step 2: Convert to fraction form
    458.69/688.23 = 285.30/x
  3. Step 3: Cross multiply
    458.69x = 688.23 × 285.30
  4. Step 4: Simplify right side
    458.69x = 196,352.02
  5. Step 5: Solve for x
    x = 196,352.02/458.69
  6. Step 6: Final answer
    x = 428.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.