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Finding the Fourth Proportional to 572.51, 790.25 and 407.20

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Solution

The fourth proportional to 572.51, 790.25 and 407.20 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.51 : 790.25 = 407.20 : x
  2. Step 2: Convert to fraction form
    572.51/790.25 = 407.20/x
  3. Step 3: Cross multiply
    572.51x = 790.25 × 407.20
  4. Step 4: Simplify right side
    572.51x = 321,791.81
  5. Step 5: Solve for x
    x = 321,791.81/572.51
  6. Step 6: Final answer
    x = 562.07

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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.