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Finding the Fourth Proportional to 829.77, 1,145.16 and 480.48

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Solution

The fourth proportional to 829.77, 1,145.16 and 480.48 is: 663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.77 : 1,145.16 = 480.48 : x
  2. Step 2: Convert to fraction form
    829.77/1,145.16 = 480.48/x
  3. Step 3: Cross multiply
    829.77x = 1,145.16 × 480.48
  4. Step 4: Simplify right side
    829.77x = 550,226.48
  5. Step 5: Solve for x
    x = 550,226.48/829.77
  6. Step 6: Final answer
    x = 663.11

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Double scale
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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.