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Finding the Fourth Proportional to 890.24, 1,228.36 and 575.60

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Solution

The fourth proportional to 890.24, 1,228.36 and 575.60 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.24 : 1,228.36 = 575.60 : x
  2. Step 2: Convert to fraction form
    890.24/1,228.36 = 575.60/x
  3. Step 3: Cross multiply
    890.24x = 1,228.36 × 575.60
  4. Step 4: Simplify right side
    890.24x = 707,044.02
  5. Step 5: Solve for x
    x = 707,044.02/890.24
  6. Step 6: Final answer
    x = 794.22

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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.