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Finding the Fourth Proportional to 1,506.42, 2,257.56 and 774.45

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Solution

The fourth proportional to 1,506.42, 2,257.56 and 774.45 is: 1,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.42 : 2,257.56 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,506.42/2,257.56 = 774.45/x
  3. Step 3: Cross multiply
    1,506.42x = 2,257.56 × 774.45
  4. Step 4: Simplify right side
    1,506.42x = 1,748,367.34
  5. Step 5: Solve for x
    x = 1,748,367.34/1,506.42
  6. Step 6: Final answer
    x = 1,160.61

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1.5x scale

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.