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Finding the Fourth Proportional to 1,326.68, 1,988.66 and 460.26

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Solution

The fourth proportional to 1,326.68, 1,988.66 and 460.26 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.68 : 1,988.66 = 460.26 : x
  2. Step 2: Convert to fraction form
    1,326.68/1,988.66 = 460.26/x
  3. Step 3: Cross multiply
    1,326.68x = 1,988.66 × 460.26
  4. Step 4: Simplify right side
    1,326.68x = 915,300.65
  5. Step 5: Solve for x
    x = 915,300.65/1,326.68
  6. Step 6: Final answer
    x = 689.92

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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.