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Finding the Fourth Proportional to 523.59, 723.02 and 384.50

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Solution

The fourth proportional to 523.59, 723.02 and 384.50 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 723.02 = 384.50 : x
  2. Step 2: Convert to fraction form
    523.59/723.02 = 384.50/x
  3. Step 3: Cross multiply
    523.59x = 723.02 × 384.50
  4. Step 4: Simplify right side
    523.59x = 278,001.19
  5. Step 5: Solve for x
    x = 278,001.19/523.59
  6. Step 6: Final answer
    x = 530.95

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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.