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Finding the Fourth Proportional to 971.94, 1,458.16 and 741.08

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Solution

The fourth proportional to 971.94, 1,458.16 and 741.08 is: 1,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.94 : 1,458.16 = 741.08 : x
  2. Step 2: Convert to fraction form
    971.94/1,458.16 = 741.08/x
  3. Step 3: Cross multiply
    971.94x = 1,458.16 × 741.08
  4. Step 4: Simplify right side
    971.94x = 1,080,613.21
  5. Step 5: Solve for x
    x = 1,080,613.21/971.94
  6. Step 6: Final answer
    x = 1,111.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.