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Finding the Fourth Proportional to 553.94, 763.48 and 421.10

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Solution

The fourth proportional to 553.94, 763.48 and 421.10 is: 580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.94 : 763.48 = 421.10 : x
  2. Step 2: Convert to fraction form
    553.94/763.48 = 421.10/x
  3. Step 3: Cross multiply
    553.94x = 763.48 × 421.10
  4. Step 4: Simplify right side
    553.94x = 321,498.63
  5. Step 5: Solve for x
    x = 321,498.63/553.94
  6. Step 6: Final answer
    x = 580.39

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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.