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Finding the Fourth Proportional to 1,497.68, 2,247.08 and 718.02

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Solution

The fourth proportional to 1,497.68, 2,247.08 and 718.02 is: 1,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,247.08 = 718.02 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,247.08 = 718.02/x
  3. Step 3: Cross multiply
    1,497.68x = 2,247.08 × 718.02
  4. Step 4: Simplify right side
    1,497.68x = 1,613,448.38
  5. Step 5: Solve for x
    x = 1,613,448.38/1,497.68
  6. Step 6: Final answer
    x = 1,077.30

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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.