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Finding the Fourth Proportional to 1,552.18, 2,328.33 and 772.55

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Solution

The fourth proportional to 1,552.18, 2,328.33 and 772.55 is: 1,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.18 : 2,328.33 = 772.55 : x
  2. Step 2: Convert to fraction form
    1,552.18/2,328.33 = 772.55/x
  3. Step 3: Cross multiply
    1,552.18x = 2,328.33 × 772.55
  4. Step 4: Simplify right side
    1,552.18x = 1,798,751.34
  5. Step 5: Solve for x
    x = 1,798,751.34/1,552.18
  6. Step 6: Final answer
    x = 1,158.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.