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Finding the Fourth Proportional to 1,345.75, 2,017.91 and 883.78

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Solution

The fourth proportional to 1,345.75, 2,017.91 and 883.78 is: 1,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.75 : 2,017.91 = 883.78 : x
  2. Step 2: Convert to fraction form
    1,345.75/2,017.91 = 883.78/x
  3. Step 3: Cross multiply
    1,345.75x = 2,017.91 × 883.78
  4. Step 4: Simplify right side
    1,345.75x = 1,783,385.66
  5. Step 5: Solve for x
    x = 1,783,385.66/1,345.75
  6. Step 6: Final answer
    x = 1,325.20

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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.