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Finding the Fourth Proportional to 524.76, 724.30 and 303.85

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Solution

The fourth proportional to 524.76, 724.30 and 303.85 is: 419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 724.30 = 303.85 : x
  2. Step 2: Convert to fraction form
    524.76/724.30 = 303.85/x
  3. Step 3: Cross multiply
    524.76x = 724.30 × 303.85
  4. Step 4: Simplify right side
    524.76x = 220,074.93
  5. Step 5: Solve for x
    x = 220,074.93/524.76
  6. Step 6: Final answer
    x = 419.38

Related Problems

Find fourth proportional to 262.38, 362.15 and 151.92
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Double scale
Find fourth proportional to 525.76, 725.68 and 304.85
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.