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Finding the Fourth Proportional to 657.30, 986.20 and 364.74

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Solution

The fourth proportional to 657.30, 986.20 and 364.74 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 986.20 = 364.74 : x
  2. Step 2: Convert to fraction form
    657.30/986.20 = 364.74/x
  3. Step 3: Cross multiply
    657.30x = 986.20 × 364.74
  4. Step 4: Simplify right side
    657.30x = 359,706.59
  5. Step 5: Solve for x
    x = 359,706.59/657.30
  6. Step 6: Final answer
    x = 547.25

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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.