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Finding the Fourth Proportional to 413.64, 567.56 and 409.77

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Solution

The fourth proportional to 413.64, 567.56 and 409.77 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 567.56 = 409.77 : x
  2. Step 2: Convert to fraction form
    413.64/567.56 = 409.77/x
  3. Step 3: Cross multiply
    413.64x = 567.56 × 409.77
  4. Step 4: Simplify right side
    413.64x = 232,569.06
  5. Step 5: Solve for x
    x = 232,569.06/413.64
  6. Step 6: Final answer
    x = 562.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.