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Finding the Fourth Proportional to 593.80, 890.23 and 410.66

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Solution

The fourth proportional to 593.80, 890.23 and 410.66 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.80 : 890.23 = 410.66 : x
  2. Step 2: Convert to fraction form
    593.80/890.23 = 410.66/x
  3. Step 3: Cross multiply
    593.80x = 890.23 × 410.66
  4. Step 4: Simplify right side
    593.80x = 365,581.85
  5. Step 5: Solve for x
    x = 365,581.85/593.80
  6. Step 6: Final answer
    x = 615.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.