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Finding the Fourth Proportional to 1,486.50, 2,230.60 and 608.86

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Solution

The fourth proportional to 1,486.50, 2,230.60 and 608.86 is: 913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.50 : 2,230.60 = 608.86 : x
  2. Step 2: Convert to fraction form
    1,486.50/2,230.60 = 608.86/x
  3. Step 3: Cross multiply
    1,486.50x = 2,230.60 × 608.86
  4. Step 4: Simplify right side
    1,486.50x = 1,358,123.12
  5. Step 5: Solve for x
    x = 1,358,123.12/1,486.50
  6. Step 6: Final answer
    x = 913.64

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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.