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Finding the Fourth Proportional to 593.06, 816.90 and 418.10

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Solution

The fourth proportional to 593.06, 816.90 and 418.10 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 816.90 = 418.10 : x
  2. Step 2: Convert to fraction form
    593.06/816.90 = 418.10/x
  3. Step 3: Cross multiply
    593.06x = 816.90 × 418.10
  4. Step 4: Simplify right side
    593.06x = 341,545.89
  5. Step 5: Solve for x
    x = 341,545.89/593.06
  6. Step 6: Final answer
    x = 575.90

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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.