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Finding the Fourth Proportional to 988.58, 1,482.38 and 642.08

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Solution

The fourth proportional to 988.58, 1,482.38 and 642.08 is: 962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.58 : 1,482.38 = 642.08 : x
  2. Step 2: Convert to fraction form
    988.58/1,482.38 = 642.08/x
  3. Step 3: Cross multiply
    988.58x = 1,482.38 × 642.08
  4. Step 4: Simplify right side
    988.58x = 951,806.55
  5. Step 5: Solve for x
    x = 951,806.55/988.58
  6. Step 6: Final answer
    x = 962.80

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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.