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Finding the Fourth Proportional to 553.67, 762.50 and 429.14

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Solution

The fourth proportional to 553.67, 762.50 and 429.14 is: 591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.67 : 762.50 = 429.14 : x
  2. Step 2: Convert to fraction form
    553.67/762.50 = 429.14/x
  3. Step 3: Cross multiply
    553.67x = 762.50 × 429.14
  4. Step 4: Simplify right side
    553.67x = 327,219.25
  5. Step 5: Solve for x
    x = 327,219.25/553.67
  6. Step 6: Final answer
    x = 591.00

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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.