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Finding the Fourth Proportional to 730.43, 1,008.12 and 435.72

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Solution

The fourth proportional to 730.43, 1,008.12 and 435.72 is: 601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.43 : 1,008.12 = 435.72 : x
  2. Step 2: Convert to fraction form
    730.43/1,008.12 = 435.72/x
  3. Step 3: Cross multiply
    730.43x = 1,008.12 × 435.72
  4. Step 4: Simplify right side
    730.43x = 439,253.01
  5. Step 5: Solve for x
    x = 439,253.01/730.43
  6. Step 6: Final answer
    x = 601.37

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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.