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Finding the Fourth Proportional to 524.76, 724.08 and 314.89

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Solution

The fourth proportional to 524.76, 724.08 and 314.89 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 724.08 = 314.89 : x
  2. Step 2: Convert to fraction form
    524.76/724.08 = 314.89/x
  3. Step 3: Cross multiply
    524.76x = 724.08 × 314.89
  4. Step 4: Simplify right side
    524.76x = 228,002.72
  5. Step 5: Solve for x
    x = 228,002.72/524.76
  6. Step 6: Final answer
    x = 434.49

Related Problems

Find fourth proportional to 262.38, 362.04 and 157.44
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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.