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Finding the Fourth Proportional to 522.78, 720.76 and 325.94

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Solution

The fourth proportional to 522.78, 720.76 and 325.94 is: 449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 720.76 = 325.94 : x
  2. Step 2: Convert to fraction form
    522.78/720.76 = 325.94/x
  3. Step 3: Cross multiply
    522.78x = 720.76 × 325.94
  4. Step 4: Simplify right side
    522.78x = 234,924.51
  5. Step 5: Solve for x
    x = 234,924.51/522.78
  6. Step 6: Final answer
    x = 449.38

Related Problems

Find fourth proportional to 261.39, 360.38 and 162.97
Half scale
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Double scale
Find fourth proportional to 523.78, 722.14 and 326.94
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.