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Finding the Fourth Proportional to 615.22, 923.58 and 307.39

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Solution

The fourth proportional to 615.22, 923.58 and 307.39 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.22 : 923.58 = 307.39 : x
  2. Step 2: Convert to fraction form
    615.22/923.58 = 307.39/x
  3. Step 3: Cross multiply
    615.22x = 923.58 × 307.39
  4. Step 4: Simplify right side
    615.22x = 283,899.26
  5. Step 5: Solve for x
    x = 283,899.26/615.22
  6. Step 6: Final answer
    x = 461.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.