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Finding the Fourth Proportional to 735.02, 1,014.01 and 451.34

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Solution

The fourth proportional to 735.02, 1,014.01 and 451.34 is: 622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.02 : 1,014.01 = 451.34 : x
  2. Step 2: Convert to fraction form
    735.02/1,014.01 = 451.34/x
  3. Step 3: Cross multiply
    735.02x = 1,014.01 × 451.34
  4. Step 4: Simplify right side
    735.02x = 457,669.12
  5. Step 5: Solve for x
    x = 457,669.12/735.02
  6. Step 6: Final answer
    x = 622.66

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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.