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Finding the Fourth Proportional to 1,457.17, 2,186.02 and 763.64

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Solution

The fourth proportional to 1,457.17, 2,186.02 and 763.64 is: 1,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.17 : 2,186.02 = 763.64 : x
  2. Step 2: Convert to fraction form
    1,457.17/2,186.02 = 763.64/x
  3. Step 3: Cross multiply
    1,457.17x = 2,186.02 × 763.64
  4. Step 4: Simplify right side
    1,457.17x = 1,669,330.53
  5. Step 5: Solve for x
    x = 1,669,330.53/1,457.17
  6. Step 6: Final answer
    x = 1,145.60

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Why These Related Problems?

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