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Finding the Fourth Proportional to 514.14, 708.93 and 409.02

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Solution

The fourth proportional to 514.14, 708.93 and 409.02 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 708.93 = 409.02 : x
  2. Step 2: Convert to fraction form
    514.14/708.93 = 409.02/x
  3. Step 3: Cross multiply
    514.14x = 708.93 × 409.02
  4. Step 4: Simplify right side
    514.14x = 289,966.55
  5. Step 5: Solve for x
    x = 289,966.55/514.14
  6. Step 6: Final answer
    x = 563.98

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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.