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Finding the Fourth Proportional to 521.22, 719.33 and 324.77

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Solution

The fourth proportional to 521.22, 719.33 and 324.77 is: 448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 719.33 = 324.77 : x
  2. Step 2: Convert to fraction form
    521.22/719.33 = 324.77/x
  3. Step 3: Cross multiply
    521.22x = 719.33 × 324.77
  4. Step 4: Simplify right side
    521.22x = 233,613.41
  5. Step 5: Solve for x
    x = 233,613.41/521.22
  6. Step 6: Final answer
    x = 448.20

Related Problems

Find fourth proportional to 260.61, 359.67 and 162.38
Half scale
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Double scale
Find fourth proportional to 522.22, 720.71 and 325.77
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.