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Finding the Fourth Proportional to 657.83, 986.57 and 219.01

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Solution

The fourth proportional to 657.83, 986.57 and 219.01 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 986.57 = 219.01 : x
  2. Step 2: Convert to fraction form
    657.83/986.57 = 219.01/x
  3. Step 3: Cross multiply
    657.83x = 986.57 × 219.01
  4. Step 4: Simplify right side
    657.83x = 216,068.70
  5. Step 5: Solve for x
    x = 216,068.70/657.83
  6. Step 6: Final answer
    x = 328.46

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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.