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Finding the Fourth Proportional to 816.51, 1,223.69 and 446.48

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Solution

The fourth proportional to 816.51, 1,223.69 and 446.48 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,223.69 = 446.48 : x
  2. Step 2: Convert to fraction form
    816.51/1,223.69 = 446.48/x
  3. Step 3: Cross multiply
    816.51x = 1,223.69 × 446.48
  4. Step 4: Simplify right side
    816.51x = 546,348.11
  5. Step 5: Solve for x
    x = 546,348.11/816.51
  6. Step 6: Final answer
    x = 669.13

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Double scale
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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.