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Finding the Fourth Proportional to 756.93, 1,044.86 and 582.78

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Solution

The fourth proportional to 756.93, 1,044.86 and 582.78 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.93 : 1,044.86 = 582.78 : x
  2. Step 2: Convert to fraction form
    756.93/1,044.86 = 582.78/x
  3. Step 3: Cross multiply
    756.93x = 1,044.86 × 582.78
  4. Step 4: Simplify right side
    756.93x = 608,920.60
  5. Step 5: Solve for x
    x = 608,920.60/756.93
  6. Step 6: Final answer
    x = 804.46

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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.