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Finding the Fourth Proportional to 730.86, 1,008.38 and 428.02

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Solution

The fourth proportional to 730.86, 1,008.38 and 428.02 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,008.38 = 428.02 : x
  2. Step 2: Convert to fraction form
    730.86/1,008.38 = 428.02/x
  3. Step 3: Cross multiply
    730.86x = 1,008.38 × 428.02
  4. Step 4: Simplify right side
    730.86x = 431,605.36
  5. Step 5: Solve for x
    x = 431,605.36/730.86
  6. Step 6: Final answer
    x = 590.55

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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.