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Finding the Fourth Proportional to 890.13, 1,228.15 and 558.57

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Solution

The fourth proportional to 890.13, 1,228.15 and 558.57 is: 770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.13 : 1,228.15 = 558.57 : x
  2. Step 2: Convert to fraction form
    890.13/1,228.15 = 558.57/x
  3. Step 3: Cross multiply
    890.13x = 1,228.15 × 558.57
  4. Step 4: Simplify right side
    890.13x = 686,007.75
  5. Step 5: Solve for x
    x = 686,007.75/890.13
  6. Step 6: Final answer
    x = 770.68

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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.