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Finding the Fourth Proportional to 715.61, 1,077.70 and 629.88

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Solution

The fourth proportional to 715.61, 1,077.70 and 629.88 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.61 : 1,077.70 = 629.88 : x
  2. Step 2: Convert to fraction form
    715.61/1,077.70 = 629.88/x
  3. Step 3: Cross multiply
    715.61x = 1,077.70 × 629.88
  4. Step 4: Simplify right side
    715.61x = 678,821.68
  5. Step 5: Solve for x
    x = 678,821.68/715.61
  6. Step 6: Final answer
    x = 948.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.