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Finding the Fourth Proportional to 572.69, 788.40 and 495.05

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Solution

The fourth proportional to 572.69, 788.40 and 495.05 is: 681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 788.40 = 495.05 : x
  2. Step 2: Convert to fraction form
    572.69/788.40 = 495.05/x
  3. Step 3: Cross multiply
    572.69x = 788.40 × 495.05
  4. Step 4: Simplify right side
    572.69x = 390,293.48
  5. Step 5: Solve for x
    x = 390,293.48/572.69
  6. Step 6: Final answer
    x = 681.51

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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.