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Finding the Fourth Proportional to 509.83, 706.38 and 501.97

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Solution

The fourth proportional to 509.83, 706.38 and 501.97 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.83 : 706.38 = 501.97 : x
  2. Step 2: Convert to fraction form
    509.83/706.38 = 501.97/x
  3. Step 3: Cross multiply
    509.83x = 706.38 × 501.97
  4. Step 4: Simplify right side
    509.83x = 354,581.57
  5. Step 5: Solve for x
    x = 354,581.57/509.83
  6. Step 6: Final answer
    x = 695.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.