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Finding the Fourth Proportional to 521.39, 719.39 and 324.76

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Solution

The fourth proportional to 521.39, 719.39 and 324.76 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.39 : 719.39 = 324.76 : x
  2. Step 2: Convert to fraction form
    521.39/719.39 = 324.76/x
  3. Step 3: Cross multiply
    521.39x = 719.39 × 324.76
  4. Step 4: Simplify right side
    521.39x = 233,629.10
  5. Step 5: Solve for x
    x = 233,629.10/521.39
  6. Step 6: Final answer
    x = 448.09

Related Problems

Find fourth proportional to 260.70, 359.70 and 162.38
Half scale
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Double scale
Find fourth proportional to 522.39, 720.77 and 325.76
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.