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Finding the Fourth Proportional to 1,158.71, 1,597.40 and 923.45

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Solution

The fourth proportional to 1,158.71, 1,597.40 and 923.45 is: 1,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.71 : 1,597.40 = 923.45 : x
  2. Step 2: Convert to fraction form
    1,158.71/1,597.40 = 923.45/x
  3. Step 3: Cross multiply
    1,158.71x = 1,597.40 × 923.45
  4. Step 4: Simplify right side
    1,158.71x = 1,475,106.43
  5. Step 5: Solve for x
    x = 1,475,106.43/1,158.71
  6. Step 6: Final answer
    x = 1,273.06

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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.