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Finding the Fourth Proportional to 730.40, 1,007.56 and 435.56

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Solution

The fourth proportional to 730.40, 1,007.56 and 435.56 is: 600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,007.56 = 435.56 : x
  2. Step 2: Convert to fraction form
    730.40/1,007.56 = 435.56/x
  3. Step 3: Cross multiply
    730.40x = 1,007.56 × 435.56
  4. Step 4: Simplify right side
    730.40x = 438,852.83
  5. Step 5: Solve for x
    x = 438,852.83/730.40
  6. Step 6: Final answer
    x = 600.84

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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.