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Finding the Fourth Proportional to 746.12, 1,024.10 and 661.36

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Solution

The fourth proportional to 746.12, 1,024.10 and 661.36 is: 907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,024.10 = 661.36 : x
  2. Step 2: Convert to fraction form
    746.12/1,024.10 = 661.36/x
  3. Step 3: Cross multiply
    746.12x = 1,024.10 × 661.36
  4. Step 4: Simplify right side
    746.12x = 677,298.78
  5. Step 5: Solve for x
    x = 677,298.78/746.12
  6. Step 6: Final answer
    x = 907.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.