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Finding the Fourth Proportional to 1,475.10, 2,212.65 and 783.90

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Solution

The fourth proportional to 1,475.10, 2,212.65 and 783.90 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.10 : 2,212.65 = 783.90 : x
  2. Step 2: Convert to fraction form
    1,475.10/2,212.65 = 783.90/x
  3. Step 3: Cross multiply
    1,475.10x = 2,212.65 × 783.90
  4. Step 4: Simplify right side
    1,475.10x = 1,734,496.34
  5. Step 5: Solve for x
    x = 1,734,496.34/1,475.10
  6. Step 6: Final answer
    x = 1,175.85

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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.