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Finding the Fourth Proportional to 1,772.55, 2,654.71 and 845.13

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Solution

The fourth proportional to 1,772.55, 2,654.71 and 845.13 is: 1,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.55 : 2,654.71 = 845.13 : x
  2. Step 2: Convert to fraction form
    1,772.55/2,654.71 = 845.13/x
  3. Step 3: Cross multiply
    1,772.55x = 2,654.71 × 845.13
  4. Step 4: Simplify right side
    1,772.55x = 2,243,582.90
  5. Step 5: Solve for x
    x = 2,243,582.90/1,772.55
  6. Step 6: Final answer
    x = 1,265.74

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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.