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Finding the Fourth Proportional to 521.19, 719.14 and 324.75

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Solution

The fourth proportional to 521.19, 719.14 and 324.75 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 719.14 = 324.75 : x
  2. Step 2: Convert to fraction form
    521.19/719.14 = 324.75/x
  3. Step 3: Cross multiply
    521.19x = 719.14 × 324.75
  4. Step 4: Simplify right side
    521.19x = 233,540.72
  5. Step 5: Solve for x
    x = 233,540.72/521.19
  6. Step 6: Final answer
    x = 448.09

Related Problems

Find fourth proportional to 260.60, 359.57 and 162.38
Half scale
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Double scale
Find fourth proportional to 522.19, 720.52 and 325.75
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.