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Finding the Fourth Proportional to 971.62, 1,458.66 and 779.02

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Solution

The fourth proportional to 971.62, 1,458.66 and 779.02 is: 1,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.62 : 1,458.66 = 779.02 : x
  2. Step 2: Convert to fraction form
    971.62/1,458.66 = 779.02/x
  3. Step 3: Cross multiply
    971.62x = 1,458.66 × 779.02
  4. Step 4: Simplify right side
    971.62x = 1,136,325.06
  5. Step 5: Solve for x
    x = 1,136,325.06/971.62
  6. Step 6: Final answer
    x = 1,169.51

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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.