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Finding the Fourth Proportional to 514.09, 767.74 and 440.19

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Solution

The fourth proportional to 514.09, 767.74 and 440.19 is: 657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.09 : 767.74 = 440.19 : x
  2. Step 2: Convert to fraction form
    514.09/767.74 = 440.19/x
  3. Step 3: Cross multiply
    514.09x = 767.74 × 440.19
  4. Step 4: Simplify right side
    514.09x = 337,951.47
  5. Step 5: Solve for x
    x = 337,951.47/514.09
  6. Step 6: Final answer
    x = 657.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 515.09, 769.23 and 441.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.