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Finding the Fourth Proportional to 524.68, 723.67 and 384.75

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Solution

The fourth proportional to 524.68, 723.67 and 384.75 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 723.67 = 384.75 : x
  2. Step 2: Convert to fraction form
    524.68/723.67 = 384.75/x
  3. Step 3: Cross multiply
    524.68x = 723.67 × 384.75
  4. Step 4: Simplify right side
    524.68x = 278,433.78
  5. Step 5: Solve for x
    x = 278,433.78/524.68
  6. Step 6: Final answer
    x = 530.67

Related Problems

Find fourth proportional to 262.34, 361.83 and 192.38
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Double scale
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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.