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Finding the Fourth Proportional to 451.69, 623.02 and 405.52

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Solution

The fourth proportional to 451.69, 623.02 and 405.52 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 623.02 = 405.52 : x
  2. Step 2: Convert to fraction form
    451.69/623.02 = 405.52/x
  3. Step 3: Cross multiply
    451.69x = 623.02 × 405.52
  4. Step 4: Simplify right side
    451.69x = 252,647.07
  5. Step 5: Solve for x
    x = 252,647.07/451.69
  6. Step 6: Final answer
    x = 559.34

Related Problems

Find fourth proportional to 225.85, 311.51 and 202.76
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Double scale
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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.