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Finding the Fourth Proportional to 719.72, 992.16 and 509.25

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Solution

The fourth proportional to 719.72, 992.16 and 509.25 is: 702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 992.16 = 509.25 : x
  2. Step 2: Convert to fraction form
    719.72/992.16 = 509.25/x
  3. Step 3: Cross multiply
    719.72x = 992.16 × 509.25
  4. Step 4: Simplify right side
    719.72x = 505,257.48
  5. Step 5: Solve for x
    x = 505,257.48/719.72
  6. Step 6: Final answer
    x = 702.02

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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.