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Finding the Fourth Proportional to 571.48, 786.80 and 497.80

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Solution

The fourth proportional to 571.48, 786.80 and 497.80 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 786.80 = 497.80 : x
  2. Step 2: Convert to fraction form
    571.48/786.80 = 497.80/x
  3. Step 3: Cross multiply
    571.48x = 786.80 × 497.80
  4. Step 4: Simplify right side
    571.48x = 391,669.04
  5. Step 5: Solve for x
    x = 391,669.04/571.48
  6. Step 6: Final answer
    x = 685.36

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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.