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Finding the Fourth Proportional to 727.24, 1,003.19 and 628.06

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Solution

The fourth proportional to 727.24, 1,003.19 and 628.06 is: 866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,003.19 = 628.06 : x
  2. Step 2: Convert to fraction form
    727.24/1,003.19 = 628.06/x
  3. Step 3: Cross multiply
    727.24x = 1,003.19 × 628.06
  4. Step 4: Simplify right side
    727.24x = 630,063.51
  5. Step 5: Solve for x
    x = 630,063.51/727.24
  6. Step 6: Final answer
    x = 866.38

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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.