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Finding the Fourth Proportional to 1,172.95, 1,758.77 and 480.10

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Solution

The fourth proportional to 1,172.95, 1,758.77 and 480.10 is: 719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.95 : 1,758.77 = 480.10 : x
  2. Step 2: Convert to fraction form
    1,172.95/1,758.77 = 480.10/x
  3. Step 3: Cross multiply
    1,172.95x = 1,758.77 × 480.10
  4. Step 4: Simplify right side
    1,172.95x = 844,389.87
  5. Step 5: Solve for x
    x = 844,389.87/1,172.95
  6. Step 6: Final answer
    x = 719.89

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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.