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Finding the Fourth Proportional to 454.74, 623.16 and 411

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Solution

The fourth proportional to 454.74, 623.16 and 411 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.74 : 623.16 = 411 : x
  2. Step 2: Convert to fraction form
    454.74/623.16 = 411/x
  3. Step 3: Cross multiply
    454.74x = 623.16 × 411
  4. Step 4: Simplify right side
    454.74x = 256,118.76
  5. Step 5: Solve for x
    x = 256,118.76/454.74
  6. Step 6: Final answer
    x = 563.22

Related Problems

Find fourth proportional to 227.37, 311.58 and 205.50
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.