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Finding the Fourth Proportional to 592.80, 816.10 and 515.18

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Solution

The fourth proportional to 592.80, 816.10 and 515.18 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 816.10 = 515.18 : x
  2. Step 2: Convert to fraction form
    592.80/816.10 = 515.18/x
  3. Step 3: Cross multiply
    592.80x = 816.10 × 515.18
  4. Step 4: Simplify right side
    592.80x = 420,438.40
  5. Step 5: Solve for x
    x = 420,438.40/592.80
  6. Step 6: Final answer
    x = 709.24

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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.