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Finding the Fourth Proportional to 671.69, 1,002.55 and 578.74

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Solution

The fourth proportional to 671.69, 1,002.55 and 578.74 is: 863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.69 : 1,002.55 = 578.74 : x
  2. Step 2: Convert to fraction form
    671.69/1,002.55 = 578.74/x
  3. Step 3: Cross multiply
    671.69x = 1,002.55 × 578.74
  4. Step 4: Simplify right side
    671.69x = 580,215.79
  5. Step 5: Solve for x
    x = 580,215.79/671.69
  6. Step 6: Final answer
    x = 863.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.