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Finding the Fourth Proportional to 450.19, 620.71 and 380.13

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Solution

The fourth proportional to 450.19, 620.71 and 380.13 is: 524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.19 : 620.71 = 380.13 : x
  2. Step 2: Convert to fraction form
    450.19/620.71 = 380.13/x
  3. Step 3: Cross multiply
    450.19x = 620.71 × 380.13
  4. Step 4: Simplify right side
    450.19x = 235,950.49
  5. Step 5: Solve for x
    x = 235,950.49/450.19
  6. Step 6: Final answer
    x = 524.11

Related Problems

Find fourth proportional to 225.10, 310.36 and 190.07
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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.