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Finding the Fourth Proportional to 714.48, 1,071.60 and 324.36

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Solution

The fourth proportional to 714.48, 1,071.60 and 324.36 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 1,071.60 = 324.36 : x
  2. Step 2: Convert to fraction form
    714.48/1,071.60 = 324.36/x
  3. Step 3: Cross multiply
    714.48x = 1,071.60 × 324.36
  4. Step 4: Simplify right side
    714.48x = 347,584.18
  5. Step 5: Solve for x
    x = 347,584.18/714.48
  6. Step 6: Final answer
    x = 486.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.