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Finding the Fourth Proportional to 496.76, 684.30 and 474.68

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Solution

The fourth proportional to 496.76, 684.30 and 474.68 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 684.30 = 474.68 : x
  2. Step 2: Convert to fraction form
    496.76/684.30 = 474.68/x
  3. Step 3: Cross multiply
    496.76x = 684.30 × 474.68
  4. Step 4: Simplify right side
    496.76x = 324,823.52
  5. Step 5: Solve for x
    x = 324,823.52/496.76
  6. Step 6: Final answer
    x = 653.88

Related Problems

Find fourth proportional to 248.38, 342.15 and 237.34
Half scale
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Double scale
Find fourth proportional to 497.76, 685.68 and 475.68
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.