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Finding the Fourth Proportional to 1,158.99, 1,735.69 and 663.89

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Solution

The fourth proportional to 1,158.99, 1,735.69 and 663.89 is: 994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.99 : 1,735.69 = 663.89 : x
  2. Step 2: Convert to fraction form
    1,158.99/1,735.69 = 663.89/x
  3. Step 3: Cross multiply
    1,158.99x = 1,735.69 × 663.89
  4. Step 4: Simplify right side
    1,158.99x = 1,152,307.23
  5. Step 5: Solve for x
    x = 1,152,307.23/1,158.99
  6. Step 6: Final answer
    x = 994.23

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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.