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Finding the Fourth Proportional to 719.10, 992.07 and 522.18

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Solution

The fourth proportional to 719.10, 992.07 and 522.18 is: 720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.10 : 992.07 = 522.18 : x
  2. Step 2: Convert to fraction form
    719.10/992.07 = 522.18/x
  3. Step 3: Cross multiply
    719.10x = 992.07 × 522.18
  4. Step 4: Simplify right side
    719.10x = 518,039.11
  5. Step 5: Solve for x
    x = 518,039.11/719.10
  6. Step 6: Final answer
    x = 720.40

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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.