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Finding the Fourth Proportional to 749.63, 1,035 and 488.10

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Solution

The fourth proportional to 749.63, 1,035 and 488.10 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.63 : 1,035 = 488.10 : x
  2. Step 2: Convert to fraction form
    749.63/1,035 = 488.10/x
  3. Step 3: Cross multiply
    749.63x = 1,035 × 488.10
  4. Step 4: Simplify right side
    749.63x = 505,183.50
  5. Step 5: Solve for x
    x = 505,183.50/749.63
  6. Step 6: Final answer
    x = 673.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.