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Finding the Fourth Proportional to 735.07, 1,014.10 and 455.12

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Solution

The fourth proportional to 735.07, 1,014.10 and 455.12 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.07 : 1,014.10 = 455.12 : x
  2. Step 2: Convert to fraction form
    735.07/1,014.10 = 455.12/x
  3. Step 3: Cross multiply
    735.07x = 1,014.10 × 455.12
  4. Step 4: Simplify right side
    735.07x = 461,532.12
  5. Step 5: Solve for x
    x = 461,532.12/735.07
  6. Step 6: Final answer
    x = 627.88

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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.