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Finding the Fourth Proportional to 590.96, 816.52 and 517.16

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Solution

The fourth proportional to 590.96, 816.52 and 517.16 is: 714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 816.52 = 517.16 : x
  2. Step 2: Convert to fraction form
    590.96/816.52 = 517.16/x
  3. Step 3: Cross multiply
    590.96x = 816.52 × 517.16
  4. Step 4: Simplify right side
    590.96x = 422,271.48
  5. Step 5: Solve for x
    x = 422,271.48/590.96
  6. Step 6: Final answer
    x = 714.55

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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.