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Finding the Fourth Proportional to 582.65, 804.07 and 320.67

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Solution

The fourth proportional to 582.65, 804.07 and 320.67 is: 442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.65 : 804.07 = 320.67 : x
  2. Step 2: Convert to fraction form
    582.65/804.07 = 320.67/x
  3. Step 3: Cross multiply
    582.65x = 804.07 × 320.67
  4. Step 4: Simplify right side
    582.65x = 257,841.13
  5. Step 5: Solve for x
    x = 257,841.13/582.65
  6. Step 6: Final answer
    x = 442.53

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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.