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Finding the Fourth Proportional to 830.04, 1,144.98 and 519

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Solution

The fourth proportional to 830.04, 1,144.98 and 519 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,144.98 = 519 : x
  2. Step 2: Convert to fraction form
    830.04/1,144.98 = 519/x
  3. Step 3: Cross multiply
    830.04x = 1,144.98 × 519
  4. Step 4: Simplify right side
    830.04x = 594,244.62
  5. Step 5: Solve for x
    x = 594,244.62/830.04
  6. Step 6: Final answer
    x = 715.92

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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.