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Finding the Fourth Proportional to 458.40, 686.54 and 285.14

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Solution

The fourth proportional to 458.40, 686.54 and 285.14 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 686.54 = 285.14 : x
  2. Step 2: Convert to fraction form
    458.40/686.54 = 285.14/x
  3. Step 3: Cross multiply
    458.40x = 686.54 × 285.14
  4. Step 4: Simplify right side
    458.40x = 195,760.02
  5. Step 5: Solve for x
    x = 195,760.02/458.40
  6. Step 6: Final answer
    x = 427.05

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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.