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Finding the Fourth Proportional to 988.18, 1,482.30 and 468.04

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Solution

The fourth proportional to 988.18, 1,482.30 and 468.04 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.18 : 1,482.30 = 468.04 : x
  2. Step 2: Convert to fraction form
    988.18/1,482.30 = 468.04/x
  3. Step 3: Cross multiply
    988.18x = 1,482.30 × 468.04
  4. Step 4: Simplify right side
    988.18x = 693,775.69
  5. Step 5: Solve for x
    x = 693,775.69/988.18
  6. Step 6: Final answer
    x = 702.07

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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.