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Finding the Fourth Proportional to 1,457.46, 2,186.58 and 635.91

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Solution

The fourth proportional to 1,457.46, 2,186.58 and 635.91 is: 954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.46 : 2,186.58 = 635.91 : x
  2. Step 2: Convert to fraction form
    1,457.46/2,186.58 = 635.91/x
  3. Step 3: Cross multiply
    1,457.46x = 2,186.58 × 635.91
  4. Step 4: Simplify right side
    1,457.46x = 1,390,468.09
  5. Step 5: Solve for x
    x = 1,390,468.09/1,457.46
  6. Step 6: Final answer
    x = 954.04

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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.