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Finding the Fourth Proportional to 514.50, 710.19 and 359.70

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Solution

The fourth proportional to 514.50, 710.19 and 359.70 is: 496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 710.19 = 359.70 : x
  2. Step 2: Convert to fraction form
    514.50/710.19 = 359.70/x
  3. Step 3: Cross multiply
    514.50x = 710.19 × 359.70
  4. Step 4: Simplify right side
    514.50x = 255,455.34
  5. Step 5: Solve for x
    x = 255,455.34/514.50
  6. Step 6: Final answer
    x = 496.51

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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.