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Finding the Fourth Proportional to 1,145.85, 1,581.48 and 648.65

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Solution

The fourth proportional to 1,145.85, 1,581.48 and 648.65 is: 895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.85 : 1,581.48 = 648.65 : x
  2. Step 2: Convert to fraction form
    1,145.85/1,581.48 = 648.65/x
  3. Step 3: Cross multiply
    1,145.85x = 1,581.48 × 648.65
  4. Step 4: Simplify right side
    1,145.85x = 1,025,827.00
  5. Step 5: Solve for x
    x = 1,025,827.00/1,145.85
  6. Step 6: Final answer
    x = 895.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.