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Finding the Fourth Proportional to 594, 819.36 and 482.40

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Solution

The fourth proportional to 594, 819.36 and 482.40 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 819.36 = 482.40 : x
  2. Step 2: Convert to fraction form
    594/819.36 = 482.40/x
  3. Step 3: Cross multiply
    594x = 819.36 × 482.40
  4. Step 4: Simplify right side
    594x = 395,259.26
  5. Step 5: Solve for x
    x = 395,259.26/594
  6. Step 6: Final answer
    x = 665.42

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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.