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Finding the Fourth Proportional to 517.38, 777.69 and 446.10

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Solution

The fourth proportional to 517.38, 777.69 and 446.10 is: 670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 777.69 = 446.10 : x
  2. Step 2: Convert to fraction form
    517.38/777.69 = 446.10/x
  3. Step 3: Cross multiply
    517.38x = 777.69 × 446.10
  4. Step 4: Simplify right side
    517.38x = 346,927.51
  5. Step 5: Solve for x
    x = 346,927.51/517.38
  6. Step 6: Final answer
    x = 670.55

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1.5x scale

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.