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Finding the Fourth Proportional to 735.85, 1,015.73 and 456.30

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Solution

The fourth proportional to 735.85, 1,015.73 and 456.30 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.85 : 1,015.73 = 456.30 : x
  2. Step 2: Convert to fraction form
    735.85/1,015.73 = 456.30/x
  3. Step 3: Cross multiply
    735.85x = 1,015.73 × 456.30
  4. Step 4: Simplify right side
    735.85x = 463,477.60
  5. Step 5: Solve for x
    x = 463,477.60/735.85
  6. Step 6: Final answer
    x = 629.85

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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.