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Finding the Fourth Proportional to 646.24, 892.40 and 413.77

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Solution

The fourth proportional to 646.24, 892.40 and 413.77 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 892.40 = 413.77 : x
  2. Step 2: Convert to fraction form
    646.24/892.40 = 413.77/x
  3. Step 3: Cross multiply
    646.24x = 892.40 × 413.77
  4. Step 4: Simplify right side
    646.24x = 369,248.35
  5. Step 5: Solve for x
    x = 369,248.35/646.24
  6. Step 6: Final answer
    x = 571.38

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1.5x scale

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.