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Finding the Fourth Proportional to 730.68, 1,007.80 and 435.75

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Solution

The fourth proportional to 730.68, 1,007.80 and 435.75 is: 601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,007.80 = 435.75 : x
  2. Step 2: Convert to fraction form
    730.68/1,007.80 = 435.75/x
  3. Step 3: Cross multiply
    730.68x = 1,007.80 × 435.75
  4. Step 4: Simplify right side
    730.68x = 439,148.85
  5. Step 5: Solve for x
    x = 439,148.85/730.68
  6. Step 6: Final answer
    x = 601.01

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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.