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Finding the Fourth Proportional to 517.86, 777.60 and 470.07

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Solution

The fourth proportional to 517.86, 777.60 and 470.07 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 777.60 = 470.07 : x
  2. Step 2: Convert to fraction form
    517.86/777.60 = 470.07/x
  3. Step 3: Cross multiply
    517.86x = 777.60 × 470.07
  4. Step 4: Simplify right side
    517.86x = 365,526.43
  5. Step 5: Solve for x
    x = 365,526.43/517.86
  6. Step 6: Final answer
    x = 705.84

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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.