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Finding the Fourth Proportional to 456.76, 631.97 and 398.71

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Solution

The fourth proportional to 456.76, 631.97 and 398.71 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.76 : 631.97 = 398.71 : x
  2. Step 2: Convert to fraction form
    456.76/631.97 = 398.71/x
  3. Step 3: Cross multiply
    456.76x = 631.97 × 398.71
  4. Step 4: Simplify right side
    456.76x = 251,975.34
  5. Step 5: Solve for x
    x = 251,975.34/456.76
  6. Step 6: Final answer
    x = 551.66

Related Problems

Find fourth proportional to 228.38, 315.99 and 199.36
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Double scale
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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.