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Finding the Fourth Proportional to 1,158.79, 1,599.12 and 627.67

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Solution

The fourth proportional to 1,158.79, 1,599.12 and 627.67 is: 866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.79 : 1,599.12 = 627.67 : x
  2. Step 2: Convert to fraction form
    1,158.79/1,599.12 = 627.67/x
  3. Step 3: Cross multiply
    1,158.79x = 1,599.12 × 627.67
  4. Step 4: Simplify right side
    1,158.79x = 1,003,719.65
  5. Step 5: Solve for x
    x = 1,003,719.65/1,158.79
  6. Step 6: Final answer
    x = 866.18

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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.