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Finding the Fourth Proportional to 1,214.76, 1,674.90 and 1,075.44

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Solution

The fourth proportional to 1,214.76, 1,674.90 and 1,075.44 is: 1,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,674.90 = 1,075.44 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,674.90 = 1,075.44/x
  3. Step 3: Cross multiply
    1,214.76x = 1,674.90 × 1,075.44
  4. Step 4: Simplify right side
    1,214.76x = 1,801,254.46
  5. Step 5: Solve for x
    x = 1,801,254.46/1,214.76
  6. Step 6: Final answer
    x = 1,482.81

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Double scale
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1.5x scale

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.