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Finding the Fourth Proportional to 516.47, 708.05 and 507.26

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Solution

The fourth proportional to 516.47, 708.05 and 507.26 is: 695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.47 : 708.05 = 507.26 : x
  2. Step 2: Convert to fraction form
    516.47/708.05 = 507.26/x
  3. Step 3: Cross multiply
    516.47x = 708.05 × 507.26
  4. Step 4: Simplify right side
    516.47x = 359,168.48
  5. Step 5: Solve for x
    x = 359,168.48/516.47
  6. Step 6: Final answer
    x = 695.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.