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Finding the Fourth Proportional to 804.96, 1,205.58 and 588

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Solution

The fourth proportional to 804.96, 1,205.58 and 588 is: 880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,205.58 = 588 : x
  2. Step 2: Convert to fraction form
    804.96/1,205.58 = 588/x
  3. Step 3: Cross multiply
    804.96x = 1,205.58 × 588
  4. Step 4: Simplify right side
    804.96x = 708,881.04
  5. Step 5: Solve for x
    x = 708,881.04/804.96
  6. Step 6: Final answer
    x = 880.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.