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Finding the Fourth Proportional to 829.95, 1,146.20 and 519.63

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Solution

The fourth proportional to 829.95, 1,146.20 and 519.63 is: 717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.95 : 1,146.20 = 519.63 : x
  2. Step 2: Convert to fraction form
    829.95/1,146.20 = 519.63/x
  3. Step 3: Cross multiply
    829.95x = 1,146.20 × 519.63
  4. Step 4: Simplify right side
    829.95x = 595,599.91
  5. Step 5: Solve for x
    x = 595,599.91/829.95
  6. Step 6: Final answer
    x = 717.63

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Half scale
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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.