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Finding the Fourth Proportional to 728.75, 1,004.69 and 623.39

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Solution

The fourth proportional to 728.75, 1,004.69 and 623.39 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.75 : 1,004.69 = 623.39 : x
  2. Step 2: Convert to fraction form
    728.75/1,004.69 = 623.39/x
  3. Step 3: Cross multiply
    728.75x = 1,004.69 × 623.39
  4. Step 4: Simplify right side
    728.75x = 626,310.23
  5. Step 5: Solve for x
    x = 626,310.23/728.75
  6. Step 6: Final answer
    x = 859.43

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Find fourth proportional to 364.38, 502.35 and 311.69
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Double scale
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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.