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Finding the Fourth Proportional to 596.45, 899.15 and 556.81

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Solution

The fourth proportional to 596.45, 899.15 and 556.81 is: 839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 899.15 = 556.81 : x
  2. Step 2: Convert to fraction form
    596.45/899.15 = 556.81/x
  3. Step 3: Cross multiply
    596.45x = 899.15 × 556.81
  4. Step 4: Simplify right side
    596.45x = 500,655.71
  5. Step 5: Solve for x
    x = 500,655.71/596.45
  6. Step 6: Final answer
    x = 839.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.