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Finding the Fourth Proportional to 789.90, 1,089.90 and 603.06

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Solution

The fourth proportional to 789.90, 1,089.90 and 603.06 is: 832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.90 : 1,089.90 = 603.06 : x
  2. Step 2: Convert to fraction form
    789.90/1,089.90 = 603.06/x
  3. Step 3: Cross multiply
    789.90x = 1,089.90 × 603.06
  4. Step 4: Simplify right side
    789.90x = 657,275.09
  5. Step 5: Solve for x
    x = 657,275.09/789.90
  6. Step 6: Final answer
    x = 832.10

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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.