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Finding the Fourth Proportional to 512.99, 707.70 and 402.02

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Solution

The fourth proportional to 512.99, 707.70 and 402.02 is: 554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 707.70 = 402.02 : x
  2. Step 2: Convert to fraction form
    512.99/707.70 = 402.02/x
  3. Step 3: Cross multiply
    512.99x = 707.70 × 402.02
  4. Step 4: Simplify right side
    512.99x = 284,509.55
  5. Step 5: Solve for x
    x = 284,509.55/512.99
  6. Step 6: Final answer
    x = 554.61

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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.