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Finding the Fourth Proportional to 514.35, 708.75 and 435.42

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Solution

The fourth proportional to 514.35, 708.75 and 435.42 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 708.75 = 435.42 : x
  2. Step 2: Convert to fraction form
    514.35/708.75 = 435.42/x
  3. Step 3: Cross multiply
    514.35x = 708.75 × 435.42
  4. Step 4: Simplify right side
    514.35x = 308,603.93
  5. Step 5: Solve for x
    x = 308,603.93/514.35
  6. Step 6: Final answer
    x = 599.99

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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.