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Finding the Fourth Proportional to 1,032.51, 1,424.79 and 612.84

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Solution

The fourth proportional to 1,032.51, 1,424.79 and 612.84 is: 845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.51 : 1,424.79 = 612.84 : x
  2. Step 2: Convert to fraction form
    1,032.51/1,424.79 = 612.84/x
  3. Step 3: Cross multiply
    1,032.51x = 1,424.79 × 612.84
  4. Step 4: Simplify right side
    1,032.51x = 873,168.30
  5. Step 5: Solve for x
    x = 873,168.30/1,032.51
  6. Step 6: Final answer
    x = 845.68

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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.