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Finding the Fourth Proportional to 782.93, 1,173.36 and 320.16

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Solution

The fourth proportional to 782.93, 1,173.36 and 320.16 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.93 : 1,173.36 = 320.16 : x
  2. Step 2: Convert to fraction form
    782.93/1,173.36 = 320.16/x
  3. Step 3: Cross multiply
    782.93x = 1,173.36 × 320.16
  4. Step 4: Simplify right side
    782.93x = 375,662.94
  5. Step 5: Solve for x
    x = 375,662.94/782.93
  6. Step 6: Final answer
    x = 479.82

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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.