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Finding the Fourth Proportional to 413.46, 563.40 and 412.02

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Solution

The fourth proportional to 413.46, 563.40 and 412.02 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 563.40 = 412.02 : x
  2. Step 2: Convert to fraction form
    413.46/563.40 = 412.02/x
  3. Step 3: Cross multiply
    413.46x = 563.40 × 412.02
  4. Step 4: Simplify right side
    413.46x = 232,132.07
  5. Step 5: Solve for x
    x = 232,132.07/413.46
  6. Step 6: Final answer
    x = 561.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.