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Finding the Fourth Proportional to 458.99, 686.86 and 285.74

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Solution

The fourth proportional to 458.99, 686.86 and 285.74 is: 427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.99 : 686.86 = 285.74 : x
  2. Step 2: Convert to fraction form
    458.99/686.86 = 285.74/x
  3. Step 3: Cross multiply
    458.99x = 686.86 × 285.74
  4. Step 4: Simplify right side
    458.99x = 196,267.27
  5. Step 5: Solve for x
    x = 196,267.27/458.99
  6. Step 6: Final answer
    x = 427.60

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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.