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Finding the Fourth Proportional to 509.64, 705.16 and 444.28

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Solution

The fourth proportional to 509.64, 705.16 and 444.28 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 705.16 = 444.28 : x
  2. Step 2: Convert to fraction form
    509.64/705.16 = 444.28/x
  3. Step 3: Cross multiply
    509.64x = 705.16 × 444.28
  4. Step 4: Simplify right side
    509.64x = 313,288.48
  5. Step 5: Solve for x
    x = 313,288.48/509.64
  6. Step 6: Final answer
    x = 614.73

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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.