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Finding the Fourth Proportional to 719.16, 991.89 and 497.63

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Solution

The fourth proportional to 719.16, 991.89 and 497.63 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.16 : 991.89 = 497.63 : x
  2. Step 2: Convert to fraction form
    719.16/991.89 = 497.63/x
  3. Step 3: Cross multiply
    719.16x = 991.89 × 497.63
  4. Step 4: Simplify right side
    719.16x = 493,589.26
  5. Step 5: Solve for x
    x = 493,589.26/719.16
  6. Step 6: Final answer
    x = 686.34

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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.