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Finding the Fourth Proportional to 582.39, 803.69 and 346.44

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Solution

The fourth proportional to 582.39, 803.69 and 346.44 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 803.69 = 346.44 : x
  2. Step 2: Convert to fraction form
    582.39/803.69 = 346.44/x
  3. Step 3: Cross multiply
    582.39x = 803.69 × 346.44
  4. Step 4: Simplify right side
    582.39x = 278,428.63
  5. Step 5: Solve for x
    x = 278,428.63/582.39
  6. Step 6: Final answer
    x = 478.08

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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.