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Finding the Fourth Proportional to 582.43, 803.74 and 320.45

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Solution

The fourth proportional to 582.43, 803.74 and 320.45 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.43 : 803.74 = 320.45 : x
  2. Step 2: Convert to fraction form
    582.43/803.74 = 320.45/x
  3. Step 3: Cross multiply
    582.43x = 803.74 × 320.45
  4. Step 4: Simplify right side
    582.43x = 257,553.66
  5. Step 5: Solve for x
    x = 257,553.66/582.43
  6. Step 6: Final answer
    x = 442.20

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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.