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Finding the Fourth Proportional to 728.93, 1,007.21 and 582.77

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Solution

The fourth proportional to 728.93, 1,007.21 and 582.77 is: 805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.93 : 1,007.21 = 582.77 : x
  2. Step 2: Convert to fraction form
    728.93/1,007.21 = 582.77/x
  3. Step 3: Cross multiply
    728.93x = 1,007.21 × 582.77
  4. Step 4: Simplify right side
    728.93x = 586,971.77
  5. Step 5: Solve for x
    x = 586,971.77/728.93
  6. Step 6: Final answer
    x = 805.25

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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.