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Finding the Fourth Proportional to 829.74, 1,145.20 and 493.70

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Solution

The fourth proportional to 829.74, 1,145.20 and 493.70 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,145.20 = 493.70 : x
  2. Step 2: Convert to fraction form
    829.74/1,145.20 = 493.70/x
  3. Step 3: Cross multiply
    829.74x = 1,145.20 × 493.70
  4. Step 4: Simplify right side
    829.74x = 565,385.63
  5. Step 5: Solve for x
    x = 565,385.63/829.74
  6. Step 6: Final answer
    x = 681.41

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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.