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Finding the Fourth Proportional to 621.58, 929.98 and 455.96

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Solution

The fourth proportional to 621.58, 929.98 and 455.96 is: 682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.58 : 929.98 = 455.96 : x
  2. Step 2: Convert to fraction form
    621.58/929.98 = 455.96/x
  3. Step 3: Cross multiply
    621.58x = 929.98 × 455.96
  4. Step 4: Simplify right side
    621.58x = 424,034.01
  5. Step 5: Solve for x
    x = 424,034.01/621.58
  6. Step 6: Final answer
    x = 682.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.