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Finding the Fourth Proportional to 517.07, 776.16 and 298.50

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Solution

The fourth proportional to 517.07, 776.16 and 298.50 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.07 : 776.16 = 298.50 : x
  2. Step 2: Convert to fraction form
    517.07/776.16 = 298.50/x
  3. Step 3: Cross multiply
    517.07x = 776.16 × 298.50
  4. Step 4: Simplify right side
    517.07x = 231,683.76
  5. Step 5: Solve for x
    x = 231,683.76/517.07
  6. Step 6: Final answer
    x = 448.07

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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.