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Finding the Fourth Proportional to 613.20, 846.28 and 594.06

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Solution

The fourth proportional to 613.20, 846.28 and 594.06 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 846.28 = 594.06 : x
  2. Step 2: Convert to fraction form
    613.20/846.28 = 594.06/x
  3. Step 3: Cross multiply
    613.20x = 846.28 × 594.06
  4. Step 4: Simplify right side
    613.20x = 502,741.10
  5. Step 5: Solve for x
    x = 502,741.10/613.20
  6. Step 6: Final answer
    x = 819.86

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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.