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Finding the Fourth Proportional to 746.48, 1,028.76 and 513.20

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Solution

The fourth proportional to 746.48, 1,028.76 and 513.20 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.48 : 1,028.76 = 513.20 : x
  2. Step 2: Convert to fraction form
    746.48/1,028.76 = 513.20/x
  3. Step 3: Cross multiply
    746.48x = 1,028.76 × 513.20
  4. Step 4: Simplify right side
    746.48x = 527,959.63
  5. Step 5: Solve for x
    x = 527,959.63/746.48
  6. Step 6: Final answer
    x = 707.27

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1.5x scale

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.