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Finding the Fourth Proportional to 572.65, 790.09 and 386.35

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Solution

The fourth proportional to 572.65, 790.09 and 386.35 is: 533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.65 : 790.09 = 386.35 : x
  2. Step 2: Convert to fraction form
    572.65/790.09 = 386.35/x
  3. Step 3: Cross multiply
    572.65x = 790.09 × 386.35
  4. Step 4: Simplify right side
    572.65x = 305,251.27
  5. Step 5: Solve for x
    x = 305,251.27/572.65
  6. Step 6: Final answer
    x = 533.05

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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.