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Finding the Fourth Proportional to 816.19, 1,224.36 and 328.98

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Solution

The fourth proportional to 816.19, 1,224.36 and 328.98 is: 493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,224.36 = 328.98 : x
  2. Step 2: Convert to fraction form
    816.19/1,224.36 = 328.98/x
  3. Step 3: Cross multiply
    816.19x = 1,224.36 × 328.98
  4. Step 4: Simplify right side
    816.19x = 402,789.95
  5. Step 5: Solve for x
    x = 402,789.95/816.19
  6. Step 6: Final answer
    x = 493.50

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Half scale
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Double scale
Find fourth proportional to 817.19, 1,225.86 and 329.98
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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.