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Finding the Fourth Proportional to 829.74, 1,145.01 and 480.54

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Solution

The fourth proportional to 829.74, 1,145.01 and 480.54 is: 663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,145.01 = 480.54 : x
  2. Step 2: Convert to fraction form
    829.74/1,145.01 = 480.54/x
  3. Step 3: Cross multiply
    829.74x = 1,145.01 × 480.54
  4. Step 4: Simplify right side
    829.74x = 550,223.11
  5. Step 5: Solve for x
    x = 550,223.11/829.74
  6. Step 6: Final answer
    x = 663.13

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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.