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Finding the Fourth Proportional to 746.69, 1,030.50 and 451.96

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Solution

The fourth proportional to 746.69, 1,030.50 and 451.96 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.69 : 1,030.50 = 451.96 : x
  2. Step 2: Convert to fraction form
    746.69/1,030.50 = 451.96/x
  3. Step 3: Cross multiply
    746.69x = 1,030.50 × 451.96
  4. Step 4: Simplify right side
    746.69x = 465,742.20
  5. Step 5: Solve for x
    x = 465,742.20/746.69
  6. Step 6: Final answer
    x = 623.74

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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.