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Finding the Fourth Proportional to 582.48, 803.80 and 320.49

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Solution

The fourth proportional to 582.48, 803.80 and 320.49 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 803.80 = 320.49 : x
  2. Step 2: Convert to fraction form
    582.48/803.80 = 320.49/x
  3. Step 3: Cross multiply
    582.48x = 803.80 × 320.49
  4. Step 4: Simplify right side
    582.48x = 257,609.86
  5. Step 5: Solve for x
    x = 257,609.86/582.48
  6. Step 6: Final answer
    x = 442.26

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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.