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Finding the Fourth Proportional to 517.37, 713.27 and 510.48

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Solution

The fourth proportional to 517.37, 713.27 and 510.48 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.37 : 713.27 = 510.48 : x
  2. Step 2: Convert to fraction form
    517.37/713.27 = 510.48/x
  3. Step 3: Cross multiply
    517.37x = 713.27 × 510.48
  4. Step 4: Simplify right side
    517.37x = 364,107.52
  5. Step 5: Solve for x
    x = 364,107.52/517.37
  6. Step 6: Final answer
    x = 703.77

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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.