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Finding the Fourth Proportional to 719.47, 992.84 and 440.17

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Solution

The fourth proportional to 719.47, 992.84 and 440.17 is: 607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.47 : 992.84 = 440.17 : x
  2. Step 2: Convert to fraction form
    719.47/992.84 = 440.17/x
  3. Step 3: Cross multiply
    719.47x = 992.84 × 440.17
  4. Step 4: Simplify right side
    719.47x = 437,018.38
  5. Step 5: Solve for x
    x = 437,018.38/719.47
  6. Step 6: Final answer
    x = 607.42

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1.5x scale

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.