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Finding the Fourth Proportional to 1,475.82, 2,214.14 and 435.87

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Solution

The fourth proportional to 1,475.82, 2,214.14 and 435.87 is: 653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.82 : 2,214.14 = 435.87 : x
  2. Step 2: Convert to fraction form
    1,475.82/2,214.14 = 435.87/x
  3. Step 3: Cross multiply
    1,475.82x = 2,214.14 × 435.87
  4. Step 4: Simplify right side
    1,475.82x = 965,075.02
  5. Step 5: Solve for x
    x = 965,075.02/1,475.82
  6. Step 6: Final answer
    x = 653.92

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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.