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Finding the Fourth Proportional to 1,158.90, 1,598.67 and 716.64

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Solution

The fourth proportional to 1,158.90, 1,598.67 and 716.64 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.90 : 1,598.67 = 716.64 : x
  2. Step 2: Convert to fraction form
    1,158.90/1,598.67 = 716.64/x
  3. Step 3: Cross multiply
    1,158.90x = 1,598.67 × 716.64
  4. Step 4: Simplify right side
    1,158.90x = 1,145,670.87
  5. Step 5: Solve for x
    x = 1,145,670.87/1,158.90
  6. Step 6: Final answer
    x = 988.58

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Why These Related Problems?

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