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Finding the Fourth Proportional to 730.94, 1,008.57 and 420.38

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Solution

The fourth proportional to 730.94, 1,008.57 and 420.38 is: 580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.94 : 1,008.57 = 420.38 : x
  2. Step 2: Convert to fraction form
    730.94/1,008.57 = 420.38/x
  3. Step 3: Cross multiply
    730.94x = 1,008.57 × 420.38
  4. Step 4: Simplify right side
    730.94x = 423,982.66
  5. Step 5: Solve for x
    x = 423,982.66/730.94
  6. Step 6: Final answer
    x = 580.05

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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.