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Finding the Fourth Proportional to 571.35, 787.31 and 413.71

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Solution

The fourth proportional to 571.35, 787.31 and 413.71 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 787.31 = 413.71 : x
  2. Step 2: Convert to fraction form
    571.35/787.31 = 413.71/x
  3. Step 3: Cross multiply
    571.35x = 787.31 × 413.71
  4. Step 4: Simplify right side
    571.35x = 325,718.02
  5. Step 5: Solve for x
    x = 325,718.02/571.35
  6. Step 6: Final answer
    x = 570.08

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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.