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Finding the Fourth Proportional to 519.04, 715.98 and 309.16

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Solution

The fourth proportional to 519.04, 715.98 and 309.16 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 715.98 = 309.16 : x
  2. Step 2: Convert to fraction form
    519.04/715.98 = 309.16/x
  3. Step 3: Cross multiply
    519.04x = 715.98 × 309.16
  4. Step 4: Simplify right side
    519.04x = 221,352.38
  5. Step 5: Solve for x
    x = 221,352.38/519.04
  6. Step 6: Final answer
    x = 426.46

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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.