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Finding the Fourth Proportional to 704.65, 1,056.97 and 319.45

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Solution

The fourth proportional to 704.65, 1,056.97 and 319.45 is: 479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.65 : 1,056.97 = 319.45 : x
  2. Step 2: Convert to fraction form
    704.65/1,056.97 = 319.45/x
  3. Step 3: Cross multiply
    704.65x = 1,056.97 × 319.45
  4. Step 4: Simplify right side
    704.65x = 337,649.07
  5. Step 5: Solve for x
    x = 337,649.07/704.65
  6. Step 6: Final answer
    x = 479.17

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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.