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Finding the Fourth Proportional to 615.80, 923.10 and 307.19

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Solution

The fourth proportional to 615.80, 923.10 and 307.19 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.80 : 923.10 = 307.19 : x
  2. Step 2: Convert to fraction form
    615.80/923.10 = 307.19/x
  3. Step 3: Cross multiply
    615.80x = 923.10 × 307.19
  4. Step 4: Simplify right side
    615.80x = 283,565.55
  5. Step 5: Solve for x
    x = 283,565.55/615.80
  6. Step 6: Final answer
    x = 460.48

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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.