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Finding the Fourth Proportional to 590.36, 880.92 and 528.86

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Solution

The fourth proportional to 590.36, 880.92 and 528.86 is: 789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.36 : 880.92 = 528.86 : x
  2. Step 2: Convert to fraction form
    590.36/880.92 = 528.86/x
  3. Step 3: Cross multiply
    590.36x = 880.92 × 528.86
  4. Step 4: Simplify right side
    590.36x = 465,885.55
  5. Step 5: Solve for x
    x = 465,885.55/590.36
  6. Step 6: Final answer
    x = 789.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.