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Finding the Fourth Proportional to 615.23, 922.14 and 306.77

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Solution

The fourth proportional to 615.23, 922.14 and 306.77 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.23 : 922.14 = 306.77 : x
  2. Step 2: Convert to fraction form
    615.23/922.14 = 306.77/x
  3. Step 3: Cross multiply
    615.23x = 922.14 × 306.77
  4. Step 4: Simplify right side
    615.23x = 282,880.28
  5. Step 5: Solve for x
    x = 282,880.28/615.23
  6. Step 6: Final answer
    x = 459.80

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1.5x scale

Why These Related Problems?

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