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Finding the Fourth Proportional to 514.40, 709.14 and 317.78

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Solution

The fourth proportional to 514.40, 709.14 and 317.78 is: 438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.40 : 709.14 = 317.78 : x
  2. Step 2: Convert to fraction form
    514.40/709.14 = 317.78/x
  3. Step 3: Cross multiply
    514.40x = 709.14 × 317.78
  4. Step 4: Simplify right side
    514.40x = 225,350.51
  5. Step 5: Solve for x
    x = 225,350.51/514.40
  6. Step 6: Final answer
    x = 438.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.