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Finding the Fourth Proportional to 570.04, 785.22 and 528.04

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Solution

The fourth proportional to 570.04, 785.22 and 528.04 is: 727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 785.22 = 528.04 : x
  2. Step 2: Convert to fraction form
    570.04/785.22 = 528.04/x
  3. Step 3: Cross multiply
    570.04x = 785.22 × 528.04
  4. Step 4: Simplify right side
    570.04x = 414,627.57
  5. Step 5: Solve for x
    x = 414,627.57/570.04
  6. Step 6: Final answer
    x = 727.37

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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.