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Finding the Fourth Proportional to 971.68, 1,341.03 and 578.74

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Solution

The fourth proportional to 971.68, 1,341.03 and 578.74 is: 798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.68 : 1,341.03 = 578.74 : x
  2. Step 2: Convert to fraction form
    971.68/1,341.03 = 578.74/x
  3. Step 3: Cross multiply
    971.68x = 1,341.03 × 578.74
  4. Step 4: Simplify right side
    971.68x = 776,107.70
  5. Step 5: Solve for x
    x = 776,107.70/971.68
  6. Step 6: Final answer
    x = 798.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.