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Finding the Fourth Proportional to 413.66, 571.23 and 387.51

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Solution

The fourth proportional to 413.66, 571.23 and 387.51 is: 535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 571.23 = 387.51 : x
  2. Step 2: Convert to fraction form
    413.66/571.23 = 387.51/x
  3. Step 3: Cross multiply
    413.66x = 571.23 × 387.51
  4. Step 4: Simplify right side
    413.66x = 221,357.34
  5. Step 5: Solve for x
    x = 221,357.34/413.66
  6. Step 6: Final answer
    x = 535.13

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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.