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Finding the Fourth Proportional to 709.89, 1,064.01 and 384.69

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Solution

The fourth proportional to 709.89, 1,064.01 and 384.69 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.89 : 1,064.01 = 384.69 : x
  2. Step 2: Convert to fraction form
    709.89/1,064.01 = 384.69/x
  3. Step 3: Cross multiply
    709.89x = 1,064.01 × 384.69
  4. Step 4: Simplify right side
    709.89x = 409,314.01
  5. Step 5: Solve for x
    x = 409,314.01/709.89
  6. Step 6: Final answer
    x = 576.59

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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.