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Finding the Fourth Proportional to 719.57, 991.95 and 509.06

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Solution

The fourth proportional to 719.57, 991.95 and 509.06 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.57 : 991.95 = 509.06 : x
  2. Step 2: Convert to fraction form
    719.57/991.95 = 509.06/x
  3. Step 3: Cross multiply
    719.57x = 991.95 × 509.06
  4. Step 4: Simplify right side
    719.57x = 504,962.07
  5. Step 5: Solve for x
    x = 504,962.07/719.57
  6. Step 6: Final answer
    x = 701.76

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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.