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Finding the Fourth Proportional to 727.02, 1,095.42 and 648.42

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Solution

The fourth proportional to 727.02, 1,095.42 and 648.42 is: 976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.02 : 1,095.42 = 648.42 : x
  2. Step 2: Convert to fraction form
    727.02/1,095.42 = 648.42/x
  3. Step 3: Cross multiply
    727.02x = 1,095.42 × 648.42
  4. Step 4: Simplify right side
    727.02x = 710,292.24
  5. Step 5: Solve for x
    x = 710,292.24/727.02
  6. Step 6: Final answer
    x = 976.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.