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Finding the Fourth Proportional to 521.34, 719.55 and 324.78

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Solution

The fourth proportional to 521.34, 719.55 and 324.78 is: 448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 719.55 = 324.78 : x
  2. Step 2: Convert to fraction form
    521.34/719.55 = 324.78/x
  3. Step 3: Cross multiply
    521.34x = 719.55 × 324.78
  4. Step 4: Simplify right side
    521.34x = 233,695.45
  5. Step 5: Solve for x
    x = 233,695.45/521.34
  6. Step 6: Final answer
    x = 448.26

Related Problems

Find fourth proportional to 260.67, 359.78 and 162.39
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.