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Finding the Fourth Proportional to 1,170.53, 1,615.32 and 646.57

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Solution

The fourth proportional to 1,170.53, 1,615.32 and 646.57 is: 892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.53 : 1,615.32 = 646.57 : x
  2. Step 2: Convert to fraction form
    1,170.53/1,615.32 = 646.57/x
  3. Step 3: Cross multiply
    1,170.53x = 1,615.32 × 646.57
  4. Step 4: Simplify right side
    1,170.53x = 1,044,413.41
  5. Step 5: Solve for x
    x = 1,044,413.41/1,170.53
  6. Step 6: Final answer
    x = 892.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.