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Finding the Fourth Proportional to 869.36, 1,304.30 and 349.60

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Solution

The fourth proportional to 869.36, 1,304.30 and 349.60 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,304.30 = 349.60 : x
  2. Step 2: Convert to fraction form
    869.36/1,304.30 = 349.60/x
  3. Step 3: Cross multiply
    869.36x = 1,304.30 × 349.60
  4. Step 4: Simplify right side
    869.36x = 455,983.28
  5. Step 5: Solve for x
    x = 455,983.28/869.36
  6. Step 6: Final answer
    x = 524.50

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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.