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Finding the Fourth Proportional to 496.76, 683.94 and 431.24

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Solution

The fourth proportional to 496.76, 683.94 and 431.24 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 683.94 = 431.24 : x
  2. Step 2: Convert to fraction form
    496.76/683.94 = 431.24/x
  3. Step 3: Cross multiply
    496.76x = 683.94 × 431.24
  4. Step 4: Simplify right side
    496.76x = 294,942.29
  5. Step 5: Solve for x
    x = 294,942.29/496.76
  6. Step 6: Final answer
    x = 593.73

Related Problems

Find fourth proportional to 248.38, 341.97 and 215.62
Half scale
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Double scale
Find fourth proportional to 497.76, 685.32 and 432.24
Similar ratio
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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.