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Finding the Fourth Proportional to 886.77, 1,223.75 and 493.80

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Solution

The fourth proportional to 886.77, 1,223.75 and 493.80 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.77 : 1,223.75 = 493.80 : x
  2. Step 2: Convert to fraction form
    886.77/1,223.75 = 493.80/x
  3. Step 3: Cross multiply
    886.77x = 1,223.75 × 493.80
  4. Step 4: Simplify right side
    886.77x = 604,287.75
  5. Step 5: Solve for x
    x = 604,287.75/886.77
  6. Step 6: Final answer
    x = 681.45

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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.