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Finding the Fourth Proportional to 746.19, 1,028.70 and 483.75

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Solution

The fourth proportional to 746.19, 1,028.70 and 483.75 is: 666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.19 : 1,028.70 = 483.75 : x
  2. Step 2: Convert to fraction form
    746.19/1,028.70 = 483.75/x
  3. Step 3: Cross multiply
    746.19x = 1,028.70 × 483.75
  4. Step 4: Simplify right side
    746.19x = 497,633.63
  5. Step 5: Solve for x
    x = 497,633.63/746.19
  6. Step 6: Final answer
    x = 666.90

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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.