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Finding the Fourth Proportional to 582.73, 804.18 and 320.77

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Solution

The fourth proportional to 582.73, 804.18 and 320.77 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.73 : 804.18 = 320.77 : x
  2. Step 2: Convert to fraction form
    582.73/804.18 = 320.77/x
  3. Step 3: Cross multiply
    582.73x = 804.18 × 320.77
  4. Step 4: Simplify right side
    582.73x = 257,956.82
  5. Step 5: Solve for x
    x = 257,956.82/582.73
  6. Step 6: Final answer
    x = 442.67

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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.