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Finding the Fourth Proportional to 517.05, 775.59 and 312.93

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Solution

The fourth proportional to 517.05, 775.59 and 312.93 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 775.59 = 312.93 : x
  2. Step 2: Convert to fraction form
    517.05/775.59 = 312.93/x
  3. Step 3: Cross multiply
    517.05x = 775.59 × 312.93
  4. Step 4: Simplify right side
    517.05x = 242,705.38
  5. Step 5: Solve for x
    x = 242,705.38/517.05
  6. Step 6: Final answer
    x = 469.40

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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.