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Finding the Fourth Proportional to 593.92, 820 and 384.20

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Solution

The fourth proportional to 593.92, 820 and 384.20 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.92 : 820 = 384.20 : x
  2. Step 2: Convert to fraction form
    593.92/820 = 384.20/x
  3. Step 3: Cross multiply
    593.92x = 820 × 384.20
  4. Step 4: Simplify right side
    593.92x = 315,044
  5. Step 5: Solve for x
    x = 315,044/593.92
  6. Step 6: Final answer
    x = 530.45

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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.