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Finding the Fourth Proportional to 615.24, 848.38 and 394.20

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Solution

The fourth proportional to 615.24, 848.38 and 394.20 is: 543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.24 : 848.38 = 394.20 : x
  2. Step 2: Convert to fraction form
    615.24/848.38 = 394.20/x
  3. Step 3: Cross multiply
    615.24x = 848.38 × 394.20
  4. Step 4: Simplify right side
    615.24x = 334,431.40
  5. Step 5: Solve for x
    x = 334,431.40/615.24
  6. Step 6: Final answer
    x = 543.58

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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.