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Finding the Fourth Proportional to 570.35, 785.01 and 496.24

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Solution

The fourth proportional to 570.35, 785.01 and 496.24 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.35 : 785.01 = 496.24 : x
  2. Step 2: Convert to fraction form
    570.35/785.01 = 496.24/x
  3. Step 3: Cross multiply
    570.35x = 785.01 × 496.24
  4. Step 4: Simplify right side
    570.35x = 389,553.36
  5. Step 5: Solve for x
    x = 389,553.36/570.35
  6. Step 6: Final answer
    x = 683.01

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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.