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Finding the Fourth Proportional to 829.70, 1,244.55 and 506.51

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Solution

The fourth proportional to 829.70, 1,244.55 and 506.51 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.70 : 1,244.55 = 506.51 : x
  2. Step 2: Convert to fraction form
    829.70/1,244.55 = 506.51/x
  3. Step 3: Cross multiply
    829.70x = 1,244.55 × 506.51
  4. Step 4: Simplify right side
    829.70x = 630,377.02
  5. Step 5: Solve for x
    x = 630,377.02/829.70
  6. Step 6: Final answer
    x = 759.77

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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.