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Finding the Fourth Proportional to 877.74, 1,210.89 and 578.91

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Solution

The fourth proportional to 877.74, 1,210.89 and 578.91 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.74 : 1,210.89 = 578.91 : x
  2. Step 2: Convert to fraction form
    877.74/1,210.89 = 578.91/x
  3. Step 3: Cross multiply
    877.74x = 1,210.89 × 578.91
  4. Step 4: Simplify right side
    877.74x = 700,996.33
  5. Step 5: Solve for x
    x = 700,996.33/877.74
  6. Step 6: Final answer
    x = 798.64

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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.