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Finding the Fourth Proportional to 730.43, 1,007.89 and 435.70

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Solution

The fourth proportional to 730.43, 1,007.89 and 435.70 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.43 : 1,007.89 = 435.70 : x
  2. Step 2: Convert to fraction form
    730.43/1,007.89 = 435.70/x
  3. Step 3: Cross multiply
    730.43x = 1,007.89 × 435.70
  4. Step 4: Simplify right side
    730.43x = 439,134.06
  5. Step 5: Solve for x
    x = 439,134.06/730.43
  6. Step 6: Final answer
    x = 601.20

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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.