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Finding the Fourth Proportional to 515.70, 711.42 and 350.16

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Solution

The fourth proportional to 515.70, 711.42 and 350.16 is: 483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.70 : 711.42 = 350.16 : x
  2. Step 2: Convert to fraction form
    515.70/711.42 = 350.16/x
  3. Step 3: Cross multiply
    515.70x = 711.42 × 350.16
  4. Step 4: Simplify right side
    515.70x = 249,110.83
  5. Step 5: Solve for x
    x = 249,110.83/515.70
  6. Step 6: Final answer
    x = 483.05

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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.