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Finding the Fourth Proportional to 1,175.74, 1,623.45 and 954.34

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Solution

The fourth proportional to 1,175.74, 1,623.45 and 954.34 is: 1,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.74 : 1,623.45 = 954.34 : x
  2. Step 2: Convert to fraction form
    1,175.74/1,623.45 = 954.34/x
  3. Step 3: Cross multiply
    1,175.74x = 1,623.45 × 954.34
  4. Step 4: Simplify right side
    1,175.74x = 1,549,323.27
  5. Step 5: Solve for x
    x = 1,549,323.27/1,175.74
  6. Step 6: Final answer
    x = 1,317.74

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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.