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Finding the Fourth Proportional to 991, 1,482.84 and 624.10

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Solution

The fourth proportional to 991, 1,482.84 and 624.10 is: 933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    991 : 1,482.84 = 624.10 : x
  2. Step 2: Convert to fraction form
    991/1,482.84 = 624.10/x
  3. Step 3: Cross multiply
    991x = 1,482.84 × 624.10
  4. Step 4: Simplify right side
    991x = 925,440.44
  5. Step 5: Solve for x
    x = 925,440.44/991
  6. Step 6: Final answer
    x = 933.85

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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.