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Finding the Fourth Proportional to 582.98, 804.50 and 320.98

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Solution

The fourth proportional to 582.98, 804.50 and 320.98 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 804.50 = 320.98 : x
  2. Step 2: Convert to fraction form
    582.98/804.50 = 320.98/x
  3. Step 3: Cross multiply
    582.98x = 804.50 × 320.98
  4. Step 4: Simplify right side
    582.98x = 258,228.41
  5. Step 5: Solve for x
    x = 258,228.41/582.98
  6. Step 6: Final answer
    x = 442.95

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Why These Related Problems?

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