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Finding the Fourth Proportional to 746.78, 1,030.20 and 513.50

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Solution

The fourth proportional to 746.78, 1,030.20 and 513.50 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.78 : 1,030.20 = 513.50 : x
  2. Step 2: Convert to fraction form
    746.78/1,030.20 = 513.50/x
  3. Step 3: Cross multiply
    746.78x = 1,030.20 × 513.50
  4. Step 4: Simplify right side
    746.78x = 529,007.70
  5. Step 5: Solve for x
    x = 529,007.70/746.78
  6. Step 6: Final answer
    x = 708.38

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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.