Home / 728.08-1,004.46-433.24

Finding the Fourth Proportional to 728.08, 1,004.46 and 433.24

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Solution

The fourth proportional to 728.08, 1,004.46 and 433.24 is: 597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.08 : 1,004.46 = 433.24 : x
  2. Step 2: Convert to fraction form
    728.08/1,004.46 = 433.24/x
  3. Step 3: Cross multiply
    728.08x = 1,004.46 × 433.24
  4. Step 4: Simplify right side
    728.08x = 435,172.25
  5. Step 5: Solve for x
    x = 435,172.25/728.08
  6. Step 6: Final answer
    x = 597.70

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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.