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Finding the Fourth Proportional to 709.57, 1,064.38 and 319.51

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Solution

The fourth proportional to 709.57, 1,064.38 and 319.51 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 1,064.38 = 319.51 : x
  2. Step 2: Convert to fraction form
    709.57/1,064.38 = 319.51/x
  3. Step 3: Cross multiply
    709.57x = 1,064.38 × 319.51
  4. Step 4: Simplify right side
    709.57x = 340,080.05
  5. Step 5: Solve for x
    x = 340,080.05/709.57
  6. Step 6: Final answer
    x = 479.28

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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.