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Finding the Fourth Proportional to 517.51, 776.01 and 322.77

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Solution

The fourth proportional to 517.51, 776.01 and 322.77 is: 484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.51 : 776.01 = 322.77 : x
  2. Step 2: Convert to fraction form
    517.51/776.01 = 322.77/x
  3. Step 3: Cross multiply
    517.51x = 776.01 × 322.77
  4. Step 4: Simplify right side
    517.51x = 250,472.75
  5. Step 5: Solve for x
    x = 250,472.75/517.51
  6. Step 6: Final answer
    x = 484.00

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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.