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Finding the Fourth Proportional to 390.51, 586.71 and 325.98

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Solution

The fourth proportional to 390.51, 586.71 and 325.98 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.51 : 586.71 = 325.98 : x
  2. Step 2: Convert to fraction form
    390.51/586.71 = 325.98/x
  3. Step 3: Cross multiply
    390.51x = 586.71 × 325.98
  4. Step 4: Simplify right side
    390.51x = 191,255.73
  5. Step 5: Solve for x
    x = 191,255.73/390.51
  6. Step 6: Final answer
    x = 489.76

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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.