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Finding the Fourth Proportional to 730.85, 1,008.57 and 436.28

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Solution

The fourth proportional to 730.85, 1,008.57 and 436.28 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,008.57 = 436.28 : x
  2. Step 2: Convert to fraction form
    730.85/1,008.57 = 436.28/x
  3. Step 3: Cross multiply
    730.85x = 1,008.57 × 436.28
  4. Step 4: Simplify right side
    730.85x = 440,019.26
  5. Step 5: Solve for x
    x = 440,019.26/730.85
  6. Step 6: Final answer
    x = 602.07

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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.