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Finding the Fourth Proportional to 719.64, 991.80 and 562.32

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Solution

The fourth proportional to 719.64, 991.80 and 562.32 is: 774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.64 : 991.80 = 562.32 : x
  2. Step 2: Convert to fraction form
    719.64/991.80 = 562.32/x
  3. Step 3: Cross multiply
    719.64x = 991.80 × 562.32
  4. Step 4: Simplify right side
    719.64x = 557,708.98
  5. Step 5: Solve for x
    x = 557,708.98/719.64
  6. Step 6: Final answer
    x = 774.98

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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.