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Finding the Fourth Proportional to 553.02, 825.78 and 501.90

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Solution

The fourth proportional to 553.02, 825.78 and 501.90 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 825.78 = 501.90 : x
  2. Step 2: Convert to fraction form
    553.02/825.78 = 501.90/x
  3. Step 3: Cross multiply
    553.02x = 825.78 × 501.90
  4. Step 4: Simplify right side
    553.02x = 414,458.98
  5. Step 5: Solve for x
    x = 414,458.98/553.02
  6. Step 6: Final answer
    x = 749.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.