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Finding the Fourth Proportional to 730.11, 1,007.56 and 435.32

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Solution

The fourth proportional to 730.11, 1,007.56 and 435.32 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.11 : 1,007.56 = 435.32 : x
  2. Step 2: Convert to fraction form
    730.11/1,007.56 = 435.32/x
  3. Step 3: Cross multiply
    730.11x = 1,007.56 × 435.32
  4. Step 4: Simplify right side
    730.11x = 438,611.02
  5. Step 5: Solve for x
    x = 438,611.02/730.11
  6. Step 6: Final answer
    x = 600.75

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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.