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Finding the Fourth Proportional to 523.61, 722.18 and 383.67

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Solution

The fourth proportional to 523.61, 722.18 and 383.67 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 722.18 = 383.67 : x
  2. Step 2: Convert to fraction form
    523.61/722.18 = 383.67/x
  3. Step 3: Cross multiply
    523.61x = 722.18 × 383.67
  4. Step 4: Simplify right side
    523.61x = 277,079.76
  5. Step 5: Solve for x
    x = 277,079.76/523.61
  6. Step 6: Final answer
    x = 529.17

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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.