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Finding the Fourth Proportional to 719.06, 992.63 and 509.40

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Solution

The fourth proportional to 719.06, 992.63 and 509.40 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 992.63 = 509.40 : x
  2. Step 2: Convert to fraction form
    719.06/992.63 = 509.40/x
  3. Step 3: Cross multiply
    719.06x = 992.63 × 509.40
  4. Step 4: Simplify right side
    719.06x = 505,649.48
  5. Step 5: Solve for x
    x = 505,649.48/719.06
  6. Step 6: Final answer
    x = 703.21

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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.