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Finding the Fourth Proportional to 517.95, 777.39 and 373.77

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Solution

The fourth proportional to 517.95, 777.39 and 373.77 is: 560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 777.39 = 373.77 : x
  2. Step 2: Convert to fraction form
    517.95/777.39 = 373.77/x
  3. Step 3: Cross multiply
    517.95x = 777.39 × 373.77
  4. Step 4: Simplify right side
    517.95x = 290,565.06
  5. Step 5: Solve for x
    x = 290,565.06/517.95
  6. Step 6: Final answer
    x = 560.99

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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.