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Finding the Fourth Proportional to 458.57, 686.51 and 304.07

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Solution

The fourth proportional to 458.57, 686.51 and 304.07 is: 455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.57 : 686.51 = 304.07 : x
  2. Step 2: Convert to fraction form
    458.57/686.51 = 304.07/x
  3. Step 3: Cross multiply
    458.57x = 686.51 × 304.07
  4. Step 4: Simplify right side
    458.57x = 208,745.58
  5. Step 5: Solve for x
    x = 208,745.58/458.57
  6. Step 6: Final answer
    x = 455.21

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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.