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Finding the Fourth Proportional to 762.90, 1,052.80 and 413.59

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Solution

The fourth proportional to 762.90, 1,052.80 and 413.59 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.90 : 1,052.80 = 413.59 : x
  2. Step 2: Convert to fraction form
    762.90/1,052.80 = 413.59/x
  3. Step 3: Cross multiply
    762.90x = 1,052.80 × 413.59
  4. Step 4: Simplify right side
    762.90x = 435,427.55
  5. Step 5: Solve for x
    x = 435,427.55/762.90
  6. Step 6: Final answer
    x = 570.75

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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.