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Finding the Fourth Proportional to 521.91, 719.42 and 417.42

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Solution

The fourth proportional to 521.91, 719.42 and 417.42 is: 575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 719.42 = 417.42 : x
  2. Step 2: Convert to fraction form
    521.91/719.42 = 417.42/x
  3. Step 3: Cross multiply
    521.91x = 719.42 × 417.42
  4. Step 4: Simplify right side
    521.91x = 300,298.21
  5. Step 5: Solve for x
    x = 300,298.21/521.91
  6. Step 6: Final answer
    x = 575.38

Related Problems

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Double scale
Find fourth proportional to 522.91, 720.79 and 418.42
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.