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Finding the Fourth Proportional to 790.01, 1,089.31 and 665.48

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Solution

The fourth proportional to 790.01, 1,089.31 and 665.48 is: 917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.01 : 1,089.31 = 665.48 : x
  2. Step 2: Convert to fraction form
    790.01/1,089.31 = 665.48/x
  3. Step 3: Cross multiply
    790.01x = 1,089.31 × 665.48
  4. Step 4: Simplify right side
    790.01x = 724,914.02
  5. Step 5: Solve for x
    x = 724,914.02/790.01
  6. Step 6: Final answer
    x = 917.60

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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.