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Finding the Fourth Proportional to 719.18, 992.62 and 470.06

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Solution

The fourth proportional to 719.18, 992.62 and 470.06 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.18 : 992.62 = 470.06 : x
  2. Step 2: Convert to fraction form
    719.18/992.62 = 470.06/x
  3. Step 3: Cross multiply
    719.18x = 992.62 × 470.06
  4. Step 4: Simplify right side
    719.18x = 466,590.96
  5. Step 5: Solve for x
    x = 466,590.96/719.18
  6. Step 6: Final answer
    x = 648.78

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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.