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Finding the Fourth Proportional to 657.84, 986.91 and 246.96

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Solution

The fourth proportional to 657.84, 986.91 and 246.96 is: 370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 986.91 = 246.96 : x
  2. Step 2: Convert to fraction form
    657.84/986.91 = 246.96/x
  3. Step 3: Cross multiply
    657.84x = 986.91 × 246.96
  4. Step 4: Simplify right side
    657.84x = 243,727.29
  5. Step 5: Solve for x
    x = 243,727.29/657.84
  6. Step 6: Final answer
    x = 370.50

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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.