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Finding the Fourth Proportional to 1,074.17, 1,482.30 and 626.08

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Solution

The fourth proportional to 1,074.17, 1,482.30 and 626.08 is: 863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.17 : 1,482.30 = 626.08 : x
  2. Step 2: Convert to fraction form
    1,074.17/1,482.30 = 626.08/x
  3. Step 3: Cross multiply
    1,074.17x = 1,482.30 × 626.08
  4. Step 4: Simplify right side
    1,074.17x = 928,037.03
  5. Step 5: Solve for x
    x = 928,037.03/1,074.17
  6. Step 6: Final answer
    x = 863.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.