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Finding the Fourth Proportional to 519, 710.57 and 513.98

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Solution

The fourth proportional to 519, 710.57 and 513.98 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 710.57 = 513.98 : x
  2. Step 2: Convert to fraction form
    519/710.57 = 513.98/x
  3. Step 3: Cross multiply
    519x = 710.57 × 513.98
  4. Step 4: Simplify right side
    519x = 365,218.77
  5. Step 5: Solve for x
    x = 365,218.77/519
  6. Step 6: Final answer
    x = 703.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.