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Finding the Fourth Proportional to 909.86, 1,254.83 and 578.39

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Solution

The fourth proportional to 909.86, 1,254.83 and 578.39 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.86 : 1,254.83 = 578.39 : x
  2. Step 2: Convert to fraction form
    909.86/1,254.83 = 578.39/x
  3. Step 3: Cross multiply
    909.86x = 1,254.83 × 578.39
  4. Step 4: Simplify right side
    909.86x = 725,771.96
  5. Step 5: Solve for x
    x = 725,771.96/909.86
  6. Step 6: Final answer
    x = 797.68

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1.5x scale

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.