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Finding the Fourth Proportional to 719.78, 992.93 and 471.51

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Solution

The fourth proportional to 719.78, 992.93 and 471.51 is: 650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.78 : 992.93 = 471.51 : x
  2. Step 2: Convert to fraction form
    719.78/992.93 = 471.51/x
  3. Step 3: Cross multiply
    719.78x = 992.93 × 471.51
  4. Step 4: Simplify right side
    719.78x = 468,174.07
  5. Step 5: Solve for x
    x = 468,174.07/719.78
  6. Step 6: Final answer
    x = 650.45

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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.