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Finding the Fourth Proportional to 458.59, 632.74 and 259.42

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Solution

The fourth proportional to 458.59, 632.74 and 259.42 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.59 : 632.74 = 259.42 : x
  2. Step 2: Convert to fraction form
    458.59/632.74 = 259.42/x
  3. Step 3: Cross multiply
    458.59x = 632.74 × 259.42
  4. Step 4: Simplify right side
    458.59x = 164,144.76
  5. Step 5: Solve for x
    x = 164,144.76/458.59
  6. Step 6: Final answer
    x = 357.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.