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Finding the Fourth Proportional to 710.21, 1,065.33 and 319.79

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Solution

The fourth proportional to 710.21, 1,065.33 and 319.79 is: 479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.21 : 1,065.33 = 319.79 : x
  2. Step 2: Convert to fraction form
    710.21/1,065.33 = 319.79/x
  3. Step 3: Cross multiply
    710.21x = 1,065.33 × 319.79
  4. Step 4: Simplify right side
    710.21x = 340,676.55
  5. Step 5: Solve for x
    x = 340,676.55/710.21
  6. Step 6: Final answer
    x = 479.69

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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.