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Finding the Fourth Proportional to 719.60, 992.74 and 424.76

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Solution

The fourth proportional to 719.60, 992.74 and 424.76 is: 585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.60 : 992.74 = 424.76 : x
  2. Step 2: Convert to fraction form
    719.60/992.74 = 424.76/x
  3. Step 3: Cross multiply
    719.60x = 992.74 × 424.76
  4. Step 4: Simplify right side
    719.60x = 421,676.24
  5. Step 5: Solve for x
    x = 421,676.24/719.60
  6. Step 6: Final answer
    x = 585.99

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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.