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Finding the Fourth Proportional to 1,060.01, 1,589.60 and 319.39

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Solution

The fourth proportional to 1,060.01, 1,589.60 and 319.39 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.01 : 1,589.60 = 319.39 : x
  2. Step 2: Convert to fraction form
    1,060.01/1,589.60 = 319.39/x
  3. Step 3: Cross multiply
    1,060.01x = 1,589.60 × 319.39
  4. Step 4: Simplify right side
    1,060.01x = 507,707.21
  5. Step 5: Solve for x
    x = 507,707.21/1,060.01
  6. Step 6: Final answer
    x = 478.96

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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.