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Finding the Fourth Proportional to 719.90, 994.12 and 458

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Solution

The fourth proportional to 719.90, 994.12 and 458 is: 632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.90 : 994.12 = 458 : x
  2. Step 2: Convert to fraction form
    719.90/994.12 = 458/x
  3. Step 3: Cross multiply
    719.90x = 994.12 × 458
  4. Step 4: Simplify right side
    719.90x = 455,306.96
  5. Step 5: Solve for x
    x = 455,306.96/719.90
  6. Step 6: Final answer
    x = 632.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.