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Finding the Fourth Proportional to 824.49, 1,234.93 and 412.91

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Solution

The fourth proportional to 824.49, 1,234.93 and 412.91 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.49 : 1,234.93 = 412.91 : x
  2. Step 2: Convert to fraction form
    824.49/1,234.93 = 412.91/x
  3. Step 3: Cross multiply
    824.49x = 1,234.93 × 412.91
  4. Step 4: Simplify right side
    824.49x = 509,909.29
  5. Step 5: Solve for x
    x = 509,909.29/824.49
  6. Step 6: Final answer
    x = 618.46

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.