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Finding the Fourth Proportional to 988.29, 1,482.59 and 304.13

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Solution

The fourth proportional to 988.29, 1,482.59 and 304.13 is: 456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.29 : 1,482.59 = 304.13 : x
  2. Step 2: Convert to fraction form
    988.29/1,482.59 = 304.13/x
  3. Step 3: Cross multiply
    988.29x = 1,482.59 × 304.13
  4. Step 4: Simplify right side
    988.29x = 450,891.92
  5. Step 5: Solve for x
    x = 450,891.92/988.29
  6. Step 6: Final answer
    x = 456.24

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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.